ISSN:0092-7872    

DOI:10.1080/00927879408825024

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825025

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825026

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

摘要:

We prove the existence of the generalized Samuel number [wbar]f(g) and the equalityfor any AP filtration f = (In) and any filtration g = (Jn) on a ring A. It is shown that [wbar]f(g) ≥ ⊢f(g) for all AP filtrations f and g where f is separated and nonnilpotent. Two real numbers āf(g) and ƀf(g) are introduced. It is shown that āf(g) = ⊢f(g) if ⊢f(g) exists (resp if [wbar]f(g)exists). Several properties of numbers āf(g) and ƀf(g) are given. It follows a generalization of ([1], Theorem 5. 6) and a generalization of ([6], Theorem 2) given by the formulawhere f, g, h are filtrations on a ring A.

ISSN:0092-7872    

DOI:10.1080/00927879408825027

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

摘要:

We use a computer to verify that the ideal N of all weight zero elements of any (not necessarily finite dimensional) Bernstein algebra is solvable of index ≤4. We also use a computer to verify thatN2is nilpotent of index ≤9. We give three examples of Bernstein algebras which show that various hypotheses like finite dimensionality, finitely generatedA2=A, are separately not enough to forceNto be nilpotent.

ISSN:0092-7872    

DOI:10.1080/00927879408825028

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825029

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825030

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

摘要:

LetKbe a category of topological spaces andP⊂Ka subcategory of good spaces; let moreoverCK(resp.Cp) be the associated category of chain functors (cf. 1.3.) onK(resp. onP) andthe restriction functor. The main theorem (theorem 1.4.2.) asserts the existence of a kind of right adjointwith the following properties: 1)sC*isc-continuous (cf. 1.2.); 2) ifdetermine isomorphic homology theories (onP) , then so do(now on the larger categoryK); 3)determine isomorphic homology theories onP.

ISSN:0092-7872    

DOI:10.1080/00927879408825031

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825032

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408825033

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1994

数据来源: Taylor