ISSN:0092-7872    

DOI:10.1080/00927879808826224

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

The main aim of this paper is to gove an extencion of the charcterisation given in [18] of finite posetsJhaving only finitely many isomorphism classes of indecomposable socle projectiveK-linear representations over a given fieldK. The characterisation is given in Theprem 1.2 and in Theorem 4.1 in terms of the Tits quadratic form associated toJ, in terms of the endomorphism rings and self-extensions of indecomposable representations, and in terms of the infinitd radical of the category prin(KJ). A converse to a theorem of Bongartz [4] is given in Corollary 3.5.

ISSN:0092-7872    

DOI:10.1080/00927879808826225

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

Given a commutative ringAwith 1, the necklace ringNr(A) was introduced by Metropolis and Rota [2]. In this note, we investigate the algebraic structure of necklace rings.

ISSN:0092-7872    

DOI:10.1080/00927879808826226

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

Abstract. We show that a real Hopf *-algebra with a positive and faithful Haar measure has a faithful *-representation on a real Hilbert space. Such quantum groups are generalizations of compact quantum groups, because the notion of realC*-algebra generalizes that of complexC*-algebra (the quantum groupSLq(n,R) is an example of this type). We deduce from this result an improvement of Hochschild's version of the functionnal Tannaka-Krein theorem. We also give a reductivity criterion for a Hopf algebra over a field of characteristic zero, which we use to obtain a characterization of finite type group algebras.

ISSN:0092-7872    

DOI:10.1080/00927879808826227

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826228

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

摘要:

In this article we extend the notion of Gorenstein injective and projective modules to that of complexes and characterize such complexes. We prove that over an n-Gorenstein ring every complex has a Gorenstein injective envelope and we show that every such envelope is a quasi-isomorphim..

ISSN:0092-7872    

DOI:10.1080/00927879808826229

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826230

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808826203

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1998

数据来源: Taylor