-
1
-
-
7644236914
-
Sur une classe de prolongements à K(X) d'une valuation sur une corps K
-
MR 89h:12015
-
[AP] Alexandru, V. - Popescu, N.: Sur une classe de prolongements à K(X) d'une valuation sur une corps K, Rev. Roumaine Math. Pures Appl. 33 (1988), 393-400 MR 89h:12015
-
(1988)
Rev. Roumaine Math. Pures Appl.
, vol.33
, pp. 393-400
-
-
Alexandru, V.1
Popescu, N.2
-
2
-
-
0039853157
-
A theorem of characterization of residual transcendental extensions of a valuation
-
MR 90c: 12011
-
[APZ1] Alexandru, V. - Popescu, N. - Zaharescu, A.: A theorem of characterization of residual transcendental extensions of a valuation, J. of Math. Kyoto Univ. 28 (1988), 579-592 MR 90c: 12011
-
(1988)
J. of Math. Kyoto Univ.
, vol.28
, pp. 579-592
-
-
Alexandru, V.1
Popescu, N.2
Zaharescu, A.3
-
3
-
-
0005699962
-
Minimal pairs of definition of a residual transcendental extension of a valuation
-
MR 92b:12014
-
[APZ2] Alexandru, V. - Popescu, N. - Zaharescu. A.: Minimal pairs of definition of a residual transcendental extension of a valuation, J. of Math. Kyoto Univ. 30 (1990), 207-225 MR 92b:12014
-
(1990)
J. of Math. Kyoto Univ.
, vol.30
, pp. 207-225
-
-
Alexandru, V.1
Popescu, N.2
Zaharescu, A.3
-
4
-
-
0005754662
-
All valuations on K(X)
-
MR 92c:12011
-
[APZ3] Alexandru, V. - Popescu, N. - Zaharescu, A.: All valuations on K(X), J. of Math. Kyoto Univ. 30 (1990), 281-296 MR 92c:12011
-
(1990)
J. of Math. Kyoto Univ.
, vol.30
, pp. 281-296
-
-
Alexandru, V.1
Popescu, N.2
Zaharescu, A.3
-
6
-
-
0242374229
-
Local factorization and monomialization of morphisms
-
MR 2001c:14027
-
[C] Cutkosky, D.: Local factorization and monomialization of morphisms, Astérisque 260 (1999) MR 2001c:14027
-
(1999)
Astérisque
, vol.260
-
-
Cutkosky, D.1
-
8
-
-
0004159548
-
-
Springer, Berlin MR 50:9847
-
[E] Endler, O.: Valuation theory, Springer, Berlin (1972) MR 50:9847
-
(1972)
Valuation Theory
-
-
Endler, O.1
-
9
-
-
0001478385
-
On valued function fields I
-
MR 91g:12010
-
[GMP1] Green, B. - Matignon, M. - Pop, F.: On valued function fields I, manuscripta math. 65 (1989), 357-376 MR 91g:12010
-
(1989)
Manuscripta Math
, vol.65
, pp. 357-376
-
-
Green, B.1
Matignon, M.2
Pop, F.3
-
10
-
-
0011638981
-
On valued function fields II, III
-
[GMP2] Green, B. - Matignon, M. - Pop, F.: On valued function fields II, III, J. reine angew. Math. 412 (1990), 128-149; 432 (1992), 117-133
-
(1990)
J. Reine Angew. Math.
, vol.412
, pp. 128-149
-
-
Green, B.1
Matignon, M.2
Pop, F.3
-
11
-
-
0011638981
-
-
[GMP2] Green, B. - Matignon, M. - Pop, F.: On valued function fields II, III, J. reine angew. Math. 412 (1990), 128-149; 432 (1992), 117-133
-
(1992)
J. Reine Angew. Math.
, vol.432
, pp. 117-133
-
-
-
12
-
-
84972544414
-
Maximal fields with valuations I
-
MR 3:264d
-
[KA] Kaplansky, I.: Maximal fields with valuations I, Duke Math. Journ. 9 (1942), 303-321 MR 3:264d
-
(1942)
Duke Math. Journ.
, vol.9
, pp. 303-321
-
-
Kaplansky, I.1
-
13
-
-
84976003622
-
Value groups and simple transcendental extensions
-
MR 93c:12016
-
[KH1] Khanduja, S. K.: Value groups and simple transcendental extensions, Mathematika 38 (1991), 381-385 MR 93c:12016
-
(1991)
Mathematika
, vol.38
, pp. 381-385
-
-
Khanduja, S.K.1
-
14
-
-
84976128838
-
Prolongations of valuations to simple transcendental extensions with given residue field and value group
-
MR 93c:12017
-
[KH2] Khanduja, S. K.: Prolongations of valuations to simple transcendental extensions with given residue field and value group, Mathematika 38 (1991), 386-390 MR 93c:12017
-
(1991)
Mathematika
, vol.38
, pp. 386-390
-
-
Khanduja, S.K.1
-
15
-
-
84971722483
-
On valuations of K(X)
-
MR 94a:12008
-
[KH3] Khanduja, S. K.: On valuations of K(X), Proc. Edinburgh Math. Soc. 35 (1992), 419-426 MR 94a:12008
-
(1992)
Proc. Edinburgh Math. Soc.
, vol.35
, pp. 419-426
-
-
Khanduja, S.K.1
-
16
-
-
0007140713
-
A uniqueness problem in simple transcendental extensions of valued fields
-
MR 95b:12010
-
[KH4] Khanduja, S. K.: A uniqueness problem in simple transcendental extensions of valued fields, Proc. Edinburgh Math. Soc. 37 (1993), 13-23 MR 95b:12010
-
(1993)
Proc. Edinburgh Math. Soc.
, vol.37
, pp. 13-23
-
-
Khanduja, S.K.1
-
17
-
-
84971184741
-
On value groups and residue fields of some valued function fields
-
MR 95h:12006
-
[KH5] Khanduja, S. K.: On value groups and residue fields of some valued function fields, Proc. Edinburgh Math. Soc. 37 (1994), 445-454 MR 95h:12006
-
(1994)
Proc. Edinburgh Math. Soc.
, vol.37
, pp. 445-454
-
-
Khanduja, S.K.1
-
18
-
-
0030351359
-
A note on residually transcendental prolongations with uniqueness property
-
MR 97j:12007
-
[KH6] Khanduja, S. K.: A note on residually transcendental prolongations with uniqueness property, J. Math. Kyoto Univ. 36 (1996), 553-556 MR 97j:12007
-
(1996)
J. Math. Kyoto Univ.
, vol.36
, pp. 553-556
-
-
Khanduja, S.K.1
-
19
-
-
18044385429
-
On residually transcendental valued function fields of conics
-
MR 98a:12007
-
[KH7] Khanduja, S. K.: On residually transcendental valued function fields of conics, Glasgow Math. J. 38 (1996), 137-145 MR 98a:12007
-
(1996)
Glasgow Math. J.
, vol.38
, pp. 137-145
-
-
Khanduja, S.K.1
-
20
-
-
85010961218
-
On extensions of valuations with prescribed value groups and residue fields
-
MR 98c:12013
-
[KH8] Khanduja, S. K.: On extensions of valuations with prescribed value groups and residue fields, J. Indian Math. Soc. 62 (1996), 57-60 MR 98c:12013
-
(1996)
J. Indian Math. Soc.
, vol.62
, pp. 57-60
-
-
Khanduja, S.K.1
-
21
-
-
7644219598
-
Valued function fields with given genus and residue field,
-
MR 99c:12008
-
[KH9] Khanduja, S. K.: Valued function fields with given genus and residue field, J. Indian Math. Soc. 63 (1997), 115-121 MR 99c:12008
-
(1997)
J. Indian Math. Soc.
, vol.63
, pp. 115-121
-
-
Khanduja, S.K.1
-
22
-
-
7644243044
-
An independence theorem in simple transcendental extensions of valued fields
-
MR 99g:12008
-
[KH10] Khanduja, S. K.: An independence theorem in simple transcendental extensions of valued fields, J. Indian Math. Soc. 63 (1997), 243-248 MR 99g:12008
-
(1997)
J. Indian Math. Soc.
, vol.63
, pp. 243-248
-
-
Khanduja, S.K.1
-
23
-
-
0001439118
-
Tame fields and tame extensions
-
MR 99a:12010
-
[KH11] Khanduja, S. K.: Tame fields and tame extensions, J. Alg. 201 (1998), 647-655 MR 99a:12010
-
(1998)
J. Alg.
, vol.201
, pp. 647-655
-
-
Khanduja, S.K.1
-
24
-
-
7644223151
-
The minimum property for Krasner's constant
-
eds. F.-V. Kuhlmann, S. Kuhlmann and M. Marshall, Fields Institute Communications, Amer. Math. Soc. MR 2003c:12001
-
[KH12] Khanduja, S. K.: The minimum property for Krasner's constant, in: Valuation Theory and its Applications, Proceedings of the Valuation Theory Conference Saskatoon 1999, Volume I. eds. F.-V. Kuhlmann, S. Kuhlmann and M. Marshall, Fields Institute Communications 32, Amer. Math. Soc. (2002) MR 2003c:12001
-
(2002)
Valuation Theory and Its Applications, Proceedings of the Valuation Theory Conference Saskatoon 1999
, vol.1
-
-
Khanduja, S.K.1
-
25
-
-
84971186630
-
On extensions of valuations to simple transcendental extensions
-
MR 90e:12019
-
[KHG1] Khanduja, S. K. - Garg, U.: On extensions of valuations to simple transcendental extensions, Proc. Edinburgh Math. Soc. 32 (1989), 147-156 MR 90e:12019
-
(1989)
Proc. Edinburgh Math. Soc.
, vol.32
, pp. 147-156
-
-
Khanduja, S.K.1
Garg, U.2
-
26
-
-
84972343167
-
Rank 2 valuations of K(x)
-
MR 91j:12016
-
[KHG2] Khanduja, S. K. - Garg, U.: Rank 2 valuations of K(x), Mathematika 37 (1990), 97-105 MR 91j:12016
-
(1990)
Mathematika
, vol.37
, pp. 97-105
-
-
Khanduja, S.K.1
Garg, U.2
-
27
-
-
7644219599
-
On the rank of extensions of valuations
-
MR 92c:12008
-
[KHG3] Khanduja, S. K. - Garg, U.: On the rank of extensions of valuations, Colloq. Math. 59 (1990), 25-29 MR 92c:12008
-
(1990)
Colloq. Math.
, vol.59
, pp. 25-29
-
-
Khanduja, S.K.1
Garg, U.2
-
28
-
-
7644235275
-
On residually generic prolongations to a simple transcendental extension
-
MR 93g:12010
-
[KHG4] Khanduja, S. K. - Garg, U.: On residually generic prolongations to a simple transcendental extension, J. Indian Math. Soc. 57 (1990), 1-8 MR 93g:12010
-
(1990)
J. Indian Math. Soc.
, vol.57
, pp. 1-8
-
-
Khanduja, S.K.1
Garg, U.2
-
29
-
-
84971878462
-
Residue fields of valued function fields of conics
-
MR 94i:12002
-
[KHG5] Khanduja, S. K. - Garg, U.: Residue fields of valued function fields of conics, Proc. Edinburgh Math. Soc. 36 (1993), 469-478 MR 94i:12002
-
(1993)
Proc. Edinburgh Math. Soc.
, vol.36
, pp. 469-478
-
-
Khanduja, S.K.1
Garg, U.2
-
30
-
-
7644225338
-
Prolongations of a Krull valuation to a simple transcendental extension
-
MR 94j:12012
-
[KHG6] Khanduja, S. K. - Garg, U.: Prolongations of a Krull valuation to a simple transcendental extension, J. Indian Math. Soc. 59 (1993), 13-21 MR 94j:12012
-
(1993)
J. Indian Math. Soc.
, vol.59
, pp. 13-21
-
-
Khanduja, S.K.1
Garg, U.2
-
31
-
-
85045374835
-
On minimal pairs and residually transcendental extensions of valuations
-
to appear
-
[KHPR] Khanduja, S. K. - Popescu, N. - Roggenkamp, K. W.: On minimal pairs and residually transcendental extensions of valuations, to appear in: Mathematika
-
Mathematika
-
-
Khanduja, S.K.1
Popescu, N.2
Roggenkamp, K.W.3
-
32
-
-
0043039768
-
A uniqueness problem in valued function fields of conics
-
MR 98a:12008
-
[KHS] Khanduja, S. K. - Saha, J.: A uniqueness problem in valued function fields of conics, Bull. London Math. Soc. 28 (1996), 455-462 MR 98a:12008
-
(1996)
Bull. London Math. Soc.
, vol.28
, pp. 455-462
-
-
Khanduja, S.K.1
Saha, J.2
-
36
-
-
84871146107
-
Valuation theory of fields, abelian groups and modules
-
to appear Series (formerly Gordon and Breach, eds. A. Macintyre and R. Göbel). Preliminary versions of several chapters
-
[KU2] Kuhlmann, F.-V.: Valuation theory of fields, abelian groups and modules, to appear in the "Algebra, Logic and Applications" series (formerly Gordon and Breach, eds. A. Macintyre and R. Göbel). Preliminary versions of several chapters available at: http://math.usask.ca/~fvk/Fvkbook.htm
-
Algebra, Logic and Applications
-
-
Kuhlmann, F.-V.1
-
37
-
-
4444365552
-
Valuation theoretic and model theoretic aspects of local uniformization
-
Herwig Hauser, Joseph Lipman, Frans Oort, Adolfo Quiros (eds.), Progress in Mathematics, Birkhäuser Verlag Basel MR 2001c:14001
-
[KU3] Kuhlmann, F.-V.: Valuation theoretic and model theoretic aspects of local uniformization, in: Resolution of Singularities - A Research Textbook in Tribute to Oscar Zariski. Herwig Hauser, Joseph Lipman, Frans Oort, Adolfo Quiros (eds.), Progress in Mathematics Vol. 181, Birkhäuser Verlag Basel (2000), 381-456 MR 2001c:14001
-
(2000)
Resolution of Singularities - A Research Textbook in Tribute to Oscar Zariski
, vol.181
, pp. 381-456
-
-
Kuhlmann, F.-V.1
-
40
-
-
0037046137
-
Embedding ordered fields in formal power series fields
-
MR 2002m:12003
-
[KUKMZ] Kuhlmann, F.-V. - Kuhlmann, S. - Marshall, M. - Zekavat, M.: Embedding ordered fields in formal power series fields, J. Pure Appl. Algebra 169 (2002), 71-90 MR 2002m:12003
-
(2002)
J. Pure Appl. Algebra
, vol.169
, pp. 71-90
-
-
Kuhlmann, F.-V.1
Kuhlmann, S.2
Marshall, M.3
Zekavat, M.4
-
41
-
-
0002979427
-
Immediate and purely wild extensions of valued fields
-
MR 87d:12012
-
[KUPR] Kuhlmann, F.-V. - Pank, M. - Roquette, P.: Immediate and purely wild extensions of valued fields, manuscripta mathematica 55 (1986), 39-67 MR 87d:12012
-
(1986)
Manuscripta Mathematica
, vol.55
, pp. 39-67
-
-
Kuhlmann, F.-V.1
Pank, M.2
Roquette, P.3
-
42
-
-
84941441220
-
Bewertungen mit reeller Henselisierung
-
MR 54:7440
-
[KW] Knebusch, M. - Wright, M.: Bewertungen mit reeller Henselisierung, J. reine angew. Math. 286/287 (1976), 314-321 MR 54:7440
-
(1976)
J. Reine Angew. Math.
, vol.286-287
, pp. 314-321
-
-
Knebusch, M.1
Wright, M.2
-
43
-
-
0043195222
-
The theory of ordered fields
-
Ring Theory and Algebra III (ed. B. McDonald), Dekker, New York MR 82e:12033
-
[L] Lam, T. Y.: The theory of ordered fields, in: Ring Theory and Algebra III (ed. B. McDonald), Lecture Notes in Pure and Applied Math. 55, Dekker, New York (1980), 1-152 MR 82e:12033
-
(1980)
Lecture Notes in Pure and Applied Math.
, vol.55
, pp. 1-152
-
-
Lam, T.Y.1
-
44
-
-
0000755369
-
A construction for absolute values in polynomial rings
-
[M] MacLane, S.: A construction for absolute values in polynomial rings, Trans. Amer. Math. Soc. 40 (1936), 363-395
-
(1936)
Trans. Amer. Math. Soc.
, vol.40
, pp. 363-395
-
-
MacLane, S.1
-
45
-
-
84968481831
-
A structure theorem for simple transcendental extensions of valued fields
-
MR 90h:12011
-
[MO1] Matignon, M. - Ohm, J.: A structure theorem for simple transcendental extensions of valued fields, Proc. Amer. Math. Soc. 104 (1988), 392-402 MR 90h:12011
-
(1988)
Proc. Amer. Math. Soc.
, vol.104
, pp. 392-402
-
-
Matignon, M.1
Ohm, J.2
-
46
-
-
0007042174
-
Simple transcendental extensions of valued fields III: The uniqueness property
-
MR 91j:12017
-
[MO2] Matignon, M. - Ohm, J.: Simple transcendental extensions of valued fields III: The uniqueness property, J. of Math. Kyoto Univ. 30 (1990), 347-366 MR 91j:12017
-
(1990)
J. of Math. Kyoto Univ.
, vol.30
, pp. 347-366
-
-
Matignon, M.1
Ohm, J.2
-
47
-
-
0001668352
-
Zero-dimensional branches of rank 1 on algebraic varieties
-
MR 1:26c
-
[MS] MacLane, S. - Schilling, O.F.G.: Zero-dimensional branches of rank 1 on algebraic varieties, Annals of Math. 40 (1939), 507-520 MR 1:26c
-
(1939)
Annals of Math.
, vol.40
, pp. 507-520
-
-
MacLane, S.1
Schilling, O.F.G.2
-
49
-
-
0036852470
-
Valuations and filtrations
-
MR 2003J: 12008
-
[MOSW2] Mosteig, E. - Sweedler, M.: Valuations and Filtrations, J. Symbolic Comput. 34 (2002), 399-435 MR 2003J: 12008
-
(2002)
J. Symbolic Comput.
, vol.34
, pp. 399-435
-
-
Mosteig, E.1
Sweedler, M.2
-
50
-
-
84972527608
-
A theorem on valuation rings and its applications
-
MR 34:7503
-
[N] Nagata, M.: A theorem on valuation rings and its applications, Nagoya Math. J. 29 (1967), 85-91 MR 34:7503
-
(1967)
Nagoya Math. J.
, vol.29
, pp. 85-91
-
-
Nagata, M.1
-
51
-
-
2442473789
-
Simple transcendental extensions of valued fields
-
MR 84a:13005
-
[O1] Ohm, J.: Simple transcendental extensions of valued fields, J. of Math. Kyoto Univ. 22 (1982), 201-221 MR 84a:13005
-
(1982)
J. of Math. Kyoto Univ.
, vol.22
, pp. 201-221
-
-
Ohm, J.1
-
52
-
-
0008665290
-
The Ruled Residue Theorem for simple transcendental extensions of valued fields
-
MR 85b:12010
-
[O2] Ohm, J.: The Ruled Residue Theorem for simple transcendental extensions of valued fields, Proc. Amer. Math. Soc. 89 (1983), 16-18 MR 85b:12010
-
(1983)
Proc. Amer. Math. Soc.
, vol.89
, pp. 16-18
-
-
Ohm, J.1
-
53
-
-
0040092709
-
Simple transcendental extensions of valued fields II: A fundamental inequality
-
MR 87c:12013
-
[O3] Ohm, J.: Simple transcendental extensions of valued fields II: A fundamental inequality, J. of Math. Kyoto Univ. 25 (1985), 583-596 MR 87c:12013
-
(1985)
J. of Math. Kyoto Univ.
, vol.25
, pp. 583-596
-
-
Ohm, J.1
-
54
-
-
0011686276
-
Prolongement de la valeur absolue de gauss et problème de skolem
-
MR 90e:12020
-
[PL] Polzin, M.: Prolongement de la valeur absolue de Gauss et problème de Skolem, Bull. Soc. Math. France 116 (1988), 103-132 MR 90e:12020
-
(1988)
Bull. Soc. Math. France
, vol.116
, pp. 103-132
-
-
Polzin, M.1
-
55
-
-
0041040037
-
On the residual transcendental extensions of a valuation. Key polynomials and augmented valuation
-
MR 92h:12008
-
[PP] Popescu, L. - Popescu, N.: On the residual transcendental extensions of a valuation. Key polynomials and augmented valuation, Tsukuba J. Math. 1 (1991), 57-78 MR 92h:12008
-
(1991)
Tsukuba J. Math.
, vol.1
, pp. 57-78
-
-
Popescu, L.1
Popescu, N.2
-
56
-
-
0003197929
-
Lectures on formally real fields
-
Springer, Berlin-Heidelberg-New York-Tokyo MR 86h:12013
-
[PR] Prestel, A.: Lectures on Formally Real Fields, Lecture Notes in Math. 1093, Springer, Berlin-Heidelberg-New York-Tokyo (1984) MR 86h:12013
-
(1984)
Lecture Notes in Math.
, vol.1093
-
-
Prestel, A.1
-
57
-
-
4444240949
-
-
Les Presses de l'Université de Montréal, Montréal, 1st ed., 2nd ed. MR 40:2670
-
[R] Ribenboim, P.: Théorie des valuations, Les Presses de l'Université de Montréal, Montréal, 1st ed. (1964), 2nd ed. (1968) MR 40:2670
-
(1964)
Théorie des Valuations
-
-
Ribenboim, P.1
-
58
-
-
0000449716
-
Valuations on function fields of surfaces
-
MR 91c:14037
-
[S] Spivakovsky, M.: Valuations on function fields of surfaces, Amer. J. Math. 112 (1990), 107-156 MR 91c:14037
-
(1990)
Amer. J. Math.
, vol.112
, pp. 107-156
-
-
Spivakovsky, M.1
-
61
-
-
0003868126
-
-
Springer, New York-Heidelberg-Berlin MR 22:11006
-
[ZS] Zariski, O. - Samuel, P.: Commutative Algebra, Vol. II, Springer, New York-Heidelberg-Berlin (1960) MR 22:11006
-
(1960)
Commutative Algebra
, vol.2
-
-
Zariski, O.1
Samuel, P.2
|