摘要:

LetRbe a commutative ring and let ℒ(σ) be a Gabriel filter ofRsuch thatRisσ-noetherian. We discuss the decomposition of theσ1-torsion submodule of aσ-torsionfreeR-module and characterize theσl-injectivity ofσ-closedR-modules through theσm-injectivity of modules over noetherian local rings (S, m). As an application, we obtain new criteria to determine injectivity of modules over noetherian rings, of finite Krull dimension, and Krull domains.

ISSN:0092-7872    

DOI:10.1080/00927879508825362

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825363

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825364

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825365

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825366

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

Let H be a finite dimensional Hopf algebra and B an (H, H*)-comodule algebra. The purpose of this paper is to present a construction in which the product of B is twisted by the coactions of H and H*. The constructions of the smash product and of the quantum double appear as special cases.

ISSN:0092-7872    

DOI:10.1080/00927879508825367

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825368

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825369

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor