메뉴 건너뛰기




Volumn 62, Issue 2, 2001, Pages 249-278

Totally ordered commutative monoids

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0041909908     PISSN: 00371912     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002330010026     Document Type: Article
Times cited : (40)

References (25)
  • 3
    • 0042776443 scopus 로고
    • Bochnak, J., M. Coste and M-F. Roy, "Géométrie Algébrique Réelle", Springer-Verlag, Berlin, 1987. Zbl. 633 (1988), 14016.
    • (1988) Zbl. , vol.633 , pp. 14016
  • 4
    • 0010831545 scopus 로고
    • Partially ordered rings and semi-algebraic geometry
    • Cambridge
    • Brumfiel, G., "Partially Ordered Rings and Semi-Algebraic Geometry", London Math. Soc. Lecture Note Series 37, Cambridge, 1979.
    • (1979) London Math. Soc. Lecture Note Series , vol.37
    • Brumfiel, G.1
  • 6
    • 0010760068 scopus 로고
    • Totally ordered commutative semigroups
    • Clifford, A. H., Totally ordered commutative semigroups, Bull. Amer. Math. Soc. 64 (1958), 305-316.
    • (1958) Bull. Amer. Math. Soc. , vol.64 , pp. 305-316
    • Clifford, A.H.1
  • 9
    • 0042776430 scopus 로고
    • Fully ordered semigroups and their applications
    • Gabovich, E., Fully ordered semigroups and their applications, Russian Math. Surveys 31 (1976), 147-216.
    • (1976) Russian Math. Surveys , vol.31 , pp. 147-216
    • Gabovich, E.1
  • 10
    • 0041774485 scopus 로고
    • Ordered semigroups which are not o-epimorphic images of ordered free semigroups
    • Gabovich, E., O. Ivanova and G. Rubanovich, Ordered semigroups which are not o-epimorphic images of ordered free semigroups, Siberian Journal of Math. 11 (1970), 357-60
    • (1970) Siberian Journal of Math. , vol.11 , pp. 357-360
    • Gabovich, E.1    Ivanova, O.2    Rubanovich, G.3
  • 13
    • 84972500444 scopus 로고
    • Lattice ordered rings and function rings
    • Henriksen, M. and J. Isbell, Lattice ordered rings and function rings, Pacific J. Math. 12 (1962), 533-66.
    • (1962) Pacific J. Math. , vol.12 , pp. 533-566
    • Henriksen, M.1    Isbell, J.2
  • 14
    • 0042275342 scopus 로고
    • Rings normed by the aid of semigroups
    • Hion, Ya. V., Rings normed by the aid of semigroups, Izv. Akad. Nauk SSSR. Ser. Mat. 21 (1957), 311-328 (in Russian MR 19 (1958), 530).
    • (1957) Izv. Akad. Nauk SSSR. Ser. Mat. , vol.21 , pp. 311-328
    • Hion, Ya.V.1
  • 15
    • 85037271892 scopus 로고
    • in Russian
    • Hion, Ya. V., Rings normed by the aid of semigroups, Izv. Akad. Nauk SSSR. Ser. Mat. 21 (1957), 311-328 (in Russian MR 19 (1958), 530).
    • (1958) MR , vol.19 , pp. 530
  • 16
    • 0008695914 scopus 로고    scopus 로고
    • Linearly ordered semigroups: Historical origins and A. H. Clifford's influence
    • Hofmann, K. and J. Lawson, Linearly ordered semigroups: historical origins and A. H. Clifford's influence, "Semigroup Theory and Its Applications", K. Hofmann and M. Mislove, eds., London Math. Soc. Lecture Note Series 231, Cambridge, 1996.
    • Semigroup Theory and Its Applications
    • Hofmann, K.1    Lawson, J.2
  • 17
    • 0042776427 scopus 로고    scopus 로고
    • Cambridge
    • Hofmann, K. and J. Lawson, Linearly ordered semigroups: historical origins and A. H. Clifford's influence, "Semigroup Theory and Its Applications", K. Hofmann and M. Mislove, eds., London Math. Soc. Lecture Note Series 231, Cambridge, 1996.
    • (1996) London Math. Soc. Lecture Note Series , vol.231
    • Hofmann, K.1    Mislove, M.2
  • 18
    • 0042275341 scopus 로고
    • Notes on ordered rings
    • Isbell, J., Notes on ordered rings, Algebra Universalis 1 (1972), 393-399.
    • (1972) Algebra Universalis , vol.1 , pp. 393-399
    • Isbell, J.1
  • 19
    • 85037270555 scopus 로고    scopus 로고
    • Private communication, March
    • Isbell, J., Private communication, March 1997.
    • (1997)
    • Isbell, J.1
  • 20
    • 0039781750 scopus 로고
    • Pierce-birkhoff rings
    • Madden, J., Pierce-Birkhoff rings, Arch, der Math. 53 (1989), 565-70.
    • (1989) Arch, der Math. , vol.53 , pp. 565-570
    • Madden, J.1
  • 21
    • 0009984524 scopus 로고
    • On the Pierce-Birkhoff conjecture
    • Mahé, L., On the Pierce-Birkhoff conjecture, Rocky Mtn. J. Math. 14 (1984), 983-985.
    • (1984) Rocky Mtn. J. Math. , vol.14 , pp. 983-985
    • Mahé, L.1
  • 24
    • 0001698976 scopus 로고
    • A geometric Buchberger algorithm for integer programming
    • Thomas, R., A geometric Buchberger algorithm for integer programming, Mathematics of Operations Research 20 (1995), 864-884.
    • (1995) Mathematics of Operations Research , vol.20 , pp. 864-884
    • Thomas, R.1
  • 25
    • 85037259902 scopus 로고    scopus 로고
    • Ph.D. thesis, Louisiana State University, Baton Rouge, LA
    • Wipple, G., "Totally Ordered Monoids", Ph.D. thesis, Louisiana State University, Baton Rouge, LA, 1999.
    • (1999) Totally Ordered Monoids
    • Wipple, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.