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Volumn 348, Issue 4, 1996, Pages 1521-1554

Whitehead test modules

Author keywords

Generalized upper triangular matrix rings; Injective module; Projective module; Uniformization; Weak diamond; Whitehead test module

Indexed keywords


EID: 21344450484     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-96-01494-8     Document Type: Article
Times cited : (68)

References (36)
  • 2
    • 0002350617 scopus 로고
    • Torsion theories induced by tilting modules
    • [As] MR 86j:6022
    • [As] I.Assem, Torsion theories induced by tilting modules, Canad.J.Math. 36 (1984), 899-913. MR 86j:6022
    • (1984) Canad.J.Math. , vol.36 , pp. 899-913
    • Assem, I.1
  • 4
    • 0003962025 scopus 로고
    • [CaEi] Princeton Univ.Press, Princeton, MR 17:1040e
    • [CaEi] H.Cartan and S.Eilenberg, Homological Algebra, Princeton Univ.Press, Princeton, 1956. MR 17:1040e
    • (1956) Homological Algebra
    • Cartan, H.1    Eilenberg, S.2
  • 5
    • 0003864340 scopus 로고
    • [Co] Cambridge Univ.Press, Cambridge, MR 57:3190
    • [Co] P.M.Cohn, Skew Field Constructions, Cambridge Univ.Press, Cambridge, 1977. MR 57:3190
    • (1977) Skew Field Constructions
    • Cohn, P.M.1
  • 6
    • 21344494228 scopus 로고
    • Classes of generalized *-modules
    • [CT1] MR 95e:16003
    • [CT1] R.Colpi and J.Trlifaj, Classes of generalized *-modules, Comm. Algebra 22 (1994), 3985-3995. MR 95e:16003
    • (1994) Comm. Algebra , vol.22 , pp. 3985-3995
    • Colpi, R.1    Trlifaj, J.2
  • 7
    • 0006036998 scopus 로고    scopus 로고
    • Tilting modules and tilting torsion theories
    • [CT2] to appear
    • [CT2] R. Colpi and J. Trlifaj, Tilting modules and tilting torsion theories, J. Algebra (to appear).
    • J. Algebra
    • Colpi, R.1    Trlifaj, J.2
  • 8
    • 0000327836 scopus 로고
    • On the structure of *-modules
    • [CMe] MR 94i:16003
    • [CMe] R. Colpi and C. Menini, On the structure of *-modules, J. Algebra 158 (1993), 400-419. MR 94i:16003
    • (1993) J. Algebra , vol.158 , pp. 400-419
    • Colpi, R.1    Menini, C.2
  • 9
    • 0003627030 scopus 로고
    • [CzFa] Cambridge University Press, Cambridge, MR 53:522
    • [CzFa] J.H.Cozzens and C.Faith, Simple Noetherian Rings, Cambridge University Press, Cambridge, 1975. MR 53:522
    • (1975) Simple Noetherian Rings
    • Cozzens, J.H.1    Faith, C.2
  • 10
    • 33645920257 scopus 로고
    • Classification and non-classification results for abelian groups
    • [E] Padova 1994, Kluwer, Dordrecht, to appear
    • [E] P.C.Eklof, Classification and non-classification results for abelian groups, Proc. Conf. "Abelian Groups and Modules", Padova 1994, Kluwer, Dordrecht, 1995 (to appear).
    • (1995) Proc. Conf. "Abelian Groups and Modules"
    • Eklof, P.C.1
  • 12
    • 0002860516 scopus 로고
    • On Whitehead modules
    • [ES1] MR 92h:03077
    • [ES1] P.C.Eklof and S.Shelah, On Whitehead modules, J. Algebra 142 (1991), 492-510. MR 92h:03077
    • (1991) J. Algebra , vol.142 , pp. 492-510
    • Eklof, P.C.1    Shelah, S.2
  • 13
    • 0038785732 scopus 로고
    • A combinatorial principle equivalent to the existence of non-free Whitehead groups
    • [ES2] Proc.Conf. "Abelian Groups", Oberwolfach 1993, Amer. Math. Soc., Providence, CMP 94:17
    • [ES2] P.C.Eklof and S.Shelah, A combinatorial principle equivalent to the existence of non-free Whitehead groups, Proc.Conf. "Abelian Groups", Oberwolfach 1993, Contemporary Mathematics, vol. 171 Amer. Math. Soc., Providence, 1994, pp. 79-98. CMP 94:17
    • (1994) Contemporary Mathematics , vol.171 , pp. 79-98
    • Eklof, P.C.1    Shelah, S.2
  • 16
    • 0003428411 scopus 로고
    • [G1] Krieger, Melbourne, MR 93m:16006
    • nd edition, Krieger, Melbourne, 1991. MR 93m:16006
    • (1991) nd Edition
    • Goodearl, K.R.1
  • 19
    • 51249183920 scopus 로고
    • In singular cardinality, locally free algebras are free
    • [Ho] MR 821:08005
    • [Ho] W.Hodges, In singular cardinality, locally free algebras are free, Alg. Universalis 12 (1981), 205-220. MR 821:08005
    • (1981) Alg. Universalis , vol.12 , pp. 205-220
    • Hodges, W.1
  • 20
    • 25844458941 scopus 로고
    • Rings over which each module has a maximal submodule, (in Russian)
    • [K] MR 41:6913
    • [K] L.Koifman, Rings over which each module has a maximal submodule, (in Russian), Mat. Zametki 3 (1970), 359-367. MR 41:6913
    • (1970) Mat. Zametki , vol.3 , pp. 359-367
    • Koifman, L.1
  • 22
    • 84972491070 scopus 로고
    • Modules of extensions over Dedekind rings
    • [N] MR 21:1329
    • [N] R.J.Nunke, Modules of extensions over Dedekind rings, Illinois J. Math. 3 (1959), 222-241. MR 21:1329
    • (1959) Illinois J. Math. , vol.3 , pp. 222-241
    • Nunke, R.J.1
  • 23
    • 1542273747 scopus 로고
    • On the endomorphism ring of an infinite dimensional vector space
    • [OR] Padova 1994, Kluwer, Dordrecht, to appear
    • [OR] A.Orsatti and N.Rodinò, On the endomorphism ring of an infinite dimensional vector space, Proc.Conf. "Abelian Groups and Modules", Padova 1994, Kluwer, Dordrecht, 1995 (to appear).
    • (1995) Proc.Conf. "Abelian Groups and Modules"
    • Orsatti, A.1    Rodinò, N.2
  • 24
    • 0003355071 scopus 로고
    • Homological Dimensions of Modules
    • [Os] AMS, Providence, MR 56:5525
    • [Os] B.L.Osofsky, Homological Dimensions of Modules, C. B. M. S. Reg. Conf. Ser. in Math. 12, AMS, Providence, 1973. MR 56:5525
    • (1973) C. B. M. S. Reg. Conf. Ser. in Math. , vol.12
    • Osofsky, B.L.1
  • 26
    • 51249188400 scopus 로고
    • Infinite abelian groups, Whitehead problem and some constructions
    • [S1] MR 50:9582
    • [S1] S.Shelah, Infinite abelian groups, Whitehead problem and some constructions, Israel J. Math. 18 (1974), 243-256. MR 50:9582
    • (1974) Israel J. Math. , vol.18 , pp. 243-256
    • Shelah, S.1
  • 27
    • 51649173218 scopus 로고
    • A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
    • [S2] MR 52:10410
    • [S2] S.Shelah, A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals, Israel J. Math. 21 (1975), 319-349. MR 52:10410
    • (1975) Israel J. Math. , vol.21 , pp. 319-349
    • Shelah, S.1
  • 28
    • 51249184963 scopus 로고
    • Whitehead groups may not be free even assuming CH, I
    • [S3] MR 57:9538
    • [S3] S.Shelah, Whitehead groups may not be free even assuming CH, I, Israel J. Math. 28 (1977), 193-203. MR 57:9538
    • (1977) Israel J. Math. , vol.28 , pp. 193-203
    • Shelah, S.1
  • 29
    • 51249180196 scopus 로고
    • Whitehead groups may not be free even assuming CH, II
    • [S4] MR 82h:03055
    • [S4] S.Shelah, Whitehead groups may not be free even assuming CH, II, Israel J. Math. 35 (1980), 257-285. MR 82h:03055
    • (1980) Israel J. Math. , vol.35 , pp. 257-285
    • Shelah, S.1
  • 30
    • 0004217340 scopus 로고
    • [S5] Springer, New York, MR 84h:03002
    • [S5] S.Shelah, Proper Forcing, Springer, New York, 1982. MR 84h:03002
    • (1982) Proper Forcing
    • Shelah, S.1
  • 32
    • 33645910156 scopus 로고
    • Torsion theories and tilting modules
    • [Sm] MR 85k:16038
    • [Sm] S.O.Smalø, Torsion theories and tilting modules, Bull.London Math.Soc. 16 (1984), 518522. MR 85k:16038
    • (1984) Bull.London Math.Soc. , vol.16 , pp. 518522
    • Smalø, S.O.1
  • 34
    • 0002247764 scopus 로고
    • Non-perfect rings and a theorem of Eklof and Shelah
    • [T2] MR 92h:03078
    • [T2] J.Trlifaj, Non-perfect rings and a theorem of Eklof and Shelah, Comment. Math. Univ. Carolinae 32 (1991), 27-32. MR 92h:03078
    • (1991) Comment. Math. Univ. Carolinae , vol.32 , pp. 27-32
    • Trlifaj, J.1
  • 35
    • 33645901164 scopus 로고
    • Almost *-modules need not be finitely generated
    • [T3] MR 94e:16014
    • [T3] J.Trlifaj, Almost *-modules need not be finitely generated, Comm. Algebra 21 (1993), 2453-2462. MR 94e:16014
    • (1993) Comm. Algebra , vol.21 , pp. 2453-2462
    • Trlifaj, J.1
  • 36
    • 0001369908 scopus 로고
    • Every *-module is finitely generated
    • [T4] CMP 95:02
    • [T4] J.Trlifaj, Every *-module is finitely generated, J. Algebra 169 (1994), 392-398. CMP 95:02
    • (1994) J. Algebra , vol.169 , pp. 392-398
    • Trlifaj, J.1


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