摘要:

If A is the ring of integers of a number field, then every invertible ideal of the ring Int(A) of integral valued polynomials on A may be generated by two elements. The question was raised to know whether this assertion holds when A is an order of a number field. We answer affirmatively in the case where A is locally analytically irreducible

ISSN:0092-7872    

DOI:10.1080/00927879508825477

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825478

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825479

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

LetIbe an ideal of a Noetherian ringRand let S be a multiplicatively closed subset of R. The purpose of this paper is to compare the topologies defined by the integral filtration {Īn}n≥0and the (S)-symbolic filtration {S(In)}n≥0 using the natural homomorphisms between the local cohomology groups {H0q(R÷In)}n≥0 and {H0q(R÷Īn)}n≥0.

ISSN:0092-7872    

DOI:10.1080/00927879508825480

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825481

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825482

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825483

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

Let φ:R →Sbe a local homomorphism of Gorenstein local rings of finite flat dimension. We prove ifMis a stable maximal Cohen-Macaulay R-module, then M ⊗RSis also a stable maximal Cohen-MacaulayS-module. By using it, we also prove that index(R) ≤ index(S).

ISSN:0092-7872    

DOI:10.1080/00927879508825484

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825485

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825486

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor