ISSN:0092-7872    

DOI:10.1080/00927879808823653

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1988

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808823654

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1988

数据来源: Taylor

摘要:

A ring S is strongly π-regular if for every a ∈ S there exists n ≥ 1 such that an∈ an+1S. It is first shown that the dominion and the maximal epimorphic extension of any ring homomorphism α:R →,S, S strongly π-regular, are strongly π-regular. Several results of Schofield on perfect and semiprimary rings are special cases. As an application it is shown that a strongly π-regular ring is a Schur ring, generalizing Lenagan’s theorem for artinian rings. Further if S ⊆ R where S is commutative strongly π-regular then for any finitely generated MSM⊗SR = 0, implies M = 0 , although ⊗Sis not faithful on homomorphisms. Another application shows that the dominion of the natural map Z → S acts like a characteristic for a strongly π-regular ring S

ISSN:0092-7872    

DOI:10.1080/00927879808823655

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1988

数据来源: Taylor

摘要:

We show that the symmetric ring of quotients of a 2-FIR coincides with the Ore Localization at the set of bounded elements.

ISSN:0092-7872    

DOI:10.1080/00927879808823656

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1988

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879808823657

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1988

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927878808823642

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1988

数据来源: Taylor