ISSN:0092-7872    

DOI:10.1080/00927878208822706

出版商:Marcel Dekker, Inc.    

年代:1982

数据来源: Taylor

摘要:

Generalized function theory on finite dimensionallinear associative algebras over the fieldo freals has pro-duced many forms o f generalized regular1ty Of particularin -terest are the forms o fregularity known as S-regularity and F-regularity. It is well known that functions regular in one senseneed not be regular in the other. Here we prove a transformationtheorem which allows the formation o f F-regular functions from S-regular functions. Furthermore, a classi flcation theorem isproved that determines the algebras for which this transformationproperty holds.

ISSN:0092-7872    

DOI:10.1080/00927878208822707

出版商:Marcel Dekker, Inc.    

年代:1982

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927878208822708

出版商:Marcel Dekker, Inc.    

年代:1982

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927878208822709

出版商:Marcel Dekker, Inc.    

年代:1982

数据来源: Taylor

摘要:

Let R be a ring and G a finite group of automorphisms of R such that GL-1ε R. In the first section, we study the homological and injective dimensions of RGwhen R is simple. In the second section, we suppose that R is a k-algebra and study c,the transfer of the Nullstellensatz property between R and RGIn the last section, we apply these results to envelopping atgebras of Lie algebras and Weyl algebras.

ISSN:0092-7872    

DOI:10.1080/00927878208822710

出版商:Marcel Dekker, Inc.    

年代:1982

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927878208822711

出版商:Marcel Dekker, Inc.    

年代:1982

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927878208822705

出版商:Marcel Dekker, Inc.    

年代:1982

数据来源: Taylor