ISSN:0092-7872    

DOI:10.1080/00927879508825390

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825391

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

A simplem-primary complete ideal in a two-dimensional regular local ring (R,m) is associated to a unique prime divisor ofRand to a unique point infinitely near toR. It also has a unique complete ideal ofRwhich is adjacent to it from above. This latter uniqueness can be extended to ideals which are products of more than one distinct simple complete ideals in certain cases. It is also known that there are infinitely many complete ideals adjacent to any power of a simple complete ideal. In this paper we extend the uniqueness as well as the existence of infinitely many complete ideals adjacent to certain ideals which are products of more than one distinct simple complete ideals such that at least one of them has exponent greater than one in the unique factorization.

ISSN:0092-7872    

DOI:10.1080/00927879508825392

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

In this paper, the concept of integral dependence over a filtration f on a ring A, relative to a moduleMis introduced and several properties concerning the integral closure ClosA(f, M) of a pair (f,M) are established. Specially, we give a complete description of ClosA(f,M) when A is a noetherian ring of Krull dimension at most 1. The paper is closed by giving a constructive method to express the integral closure of a pair (f,A) when f is strongly AP an a noetherian integral domain of Krull dimension 1.

ISSN:0092-7872    

DOI:10.1080/00927879508825393

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

We prove that a constructible nilpotent-by-abelian groupGcan be obtained from a polycyclic group by formingdsuccessive properly ascending HNN-extensions if and only ifdis the dimension of the linear subspace of Hom(G,R) spanned by the geometric invariant Σ1(G,Z)c. We also obtain a result on the finiteness properties “type FPm” of certain subgroups ofG

ISSN:0092-7872    

DOI:10.1080/00927879508825394

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825395

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor