摘要:

For a given simple Jordan algebraAof type A, B or C over C, we construct a vertex operator algebraVsuch that the weight two spaceV2≅ A by using the structure of Heisenberg algebras. In addition, we compute the automorphism groups of these vertex operator algebras.

ISSN:0092-7872    

DOI:10.1080/00927879908826520

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

AnR-moduleMis called principally quasi-injective if eachR-hornomorphism from a principal submodule ofMtoMcan be extended to an endomorphism ofM. Many properties of principally injective rings and quasi-injective modules are extended to these modules. As one application, we show that, for a finite-dimensional quasi-injective moduleMin which every maximal uniform submodule is fully invariant, there is a bijection between the set of indecomposable summands ofMand the maximal left ideals of the endomorphism ring ofM

ISSN:0092-7872    

DOI:10.1080/00927879908826521

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

Recently, the authors characterized all finite-dimensional square-free algebrasAover a fieldK, and gave a detailed description of their automorphism groups. Using the notion of rings with local units we now extend the definition of square-freealgebras to possibly infinite dimensional ones and observe that the earlier characterization carries over to the infinite dimensional case. Then relying on an appropriate version of the recent notion of inner automorphism introduced by Beattie and del Río, we extend the description of the automorphism groups to the enlarged class of square-free algebras.

ISSN:0092-7872    

DOI:10.1080/00927879908826522

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826523

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826524

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

LetA ⊂ Bbe an extension of domains andXbe an indeterminate overB. In this paper, we study the elasticity of atomic domains of the formA+XB[X] whereA ⊂ Bis an integral extension. First, we study the case whereA = Zand, show that, whateverB, this elasticity is infinite. Finally, we investigate the case whereAis a discrete valuation ring with quotient fieldKandBits integral closure in a finite extension ofK.

ISSN:0092-7872    

DOI:10.1080/00927879908826525

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879908826526

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

In this paper, weak distinguished subcategory and distinguished subcategory of modules are introduced. Left(right) local unital rings are particularly considered. Also, representable equivalent functors between categories. By using the replacement techniques of modules, a general theory of Morita equivalence for infinite matrix rings is established. This theory not only extends the classical Morita theory of equivalence from finite matrix rings to infinite matrix rings and also contains some new results which are useful in studying the algebraic structures for infinite matrix rings. Some results of classical Morita theory are included as its special cases.

ISSN:0092-7872    

DOI:10.1080/00927879908826527

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

LetRbe a commutative ring with identity and letR'be the integral closure ofRin its total quotient ring. In this paper, we will show that ifRis a Marot ring of reg-dimR≤2 and each regular ideal ofRis finitely generated, then every regular ideal ofR'is also finitely generated.

ISSN:0092-7872    

DOI:10.1080/00927879908826528

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor

摘要:

In this note we develop a decomposition theory of comodules over a general coalgebra. We relate it with other known decomposition theories and apply it to the decomposition of categories.

ISSN:0092-7872    

DOI:10.1080/00927879908826529

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1999

数据来源: Taylor