The isomorphism problem for commutative monoid rings

被引：19

作者：

Gubeladze, J ^{[1
]}

机构：

[1] Georgian Acad Sci, A Razmadze Math Inst, GE-380093 Tbilisi, Georgia

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1998年 / 129卷 / 01期

关键词：

D O I：

10.1016/S0022-4049(97)00063-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By substantial changes and corrections in Demushkin's old paper the essentially final positive answer to the isomorphism problem for monoid rings of submonoids of Z(r) is obtained. This means that the underlying monoid is shown to be determined (up to isomorphism) by the corresponding monoid ring. Thereafter the positive answer to the analogous question for the 'dual' objects - descrete Hedge algebras - is derived. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：35 / 65

页数：31

共 21 条

[1] DIVISOR CLASS GROUP OF A SEMIGROUP RING [J].

ANDERSON, DF .

COMMUNICATIONS IN ALGEBRA, 1980, 8 (05) :467-476

[2]

Bourbaki N., 1961, Algebre Commutative

[3]

BRUNS W, IN PRESS J FUR REINE

[4]

Bruns W., 1993, COHEN MACAULAY RINGS

[5]

Bruns W., 1996, Georgian Math. J, V3, P315

[6] KRULL SEMIGROUPS AND DIVISOR CLASS-GROUPS [J].

CHOUINARD, LG .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1981, 33 (06) :1459-1468

[7]

Danilov V.I., 1978, Uspekhi Mat. Nauk, V33, P85, DOI 10.1070/RM1978v033n02ABEH002305

[8]

De Concini C., 1982, ASTERISQUE, V91

[9]

Demushkin A.S., 1982, MOSC UNIV MATH BULL, P117

[10]

Fulton W., 1993, INTRO TORIC VARIETIE

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