ISSN:0092-7872    

DOI:10.1080/00927879408825196

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

The commuting variety of pairs of symmetric commuting matrices over an algebraically closed field of characteristic zero is normal. This is shown through the direct computation of the singular locus of the variety which is known [3] to be a complete intersection.

ISSN:0092-7872    

DOI:10.1080/00927879408825197

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

In this paper we further study the theory of standard bases in filtered structures as introduced by Robbiano. In particular, we study the situation in which a commutative ring A is filtered by commutative ordered monoids △ and τ in such a way that the τ filtration refines the △ filtration. We use these results to determine conditions under which a A standard basis can be lifted to a τ standard basis. Finally, we interpret these results in three situations where the refinements are given by changing the status of the variables in a polynomial ring, refining a partial order on the monomials in a polynomial ring, and refining a filtration by anI-adic filtration for an idealIin the ring A.

ISSN:0092-7872    

DOI:10.1080/00927879408825198

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825199

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825200

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825201

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825202

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825175

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor