摘要:

The Wedderburn decomposition in finite dimensional alternative superaigebras of characteristic 3 is studied. It is proved that the decomposition exists provided the semisimple quotient superalgebra does not contain certain simple superaigebras. Counterexamples are given which show that the restrictions cannot be omitted. Together with the similar results by N.A.Pisarenko for the characteristic ≠ 2,3 case, the results of the paper give a description of Wedderburn decomposition for alternative superaigebras of characteristic ≠ 2.

ISSN:0092-7872    

DOI:10.1080/00927870008827083

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

摘要:

It is shown that a ring for which every CS right module is ∑CS is right artinian. As a consequence, it is also shown that over a ring R every direct sum of CS right R-modules is CS iff R is right artinian and the composition length of every uniform right R-module is at most 2.

ISSN:0092-7872    

DOI:10.1080/00927870008827084

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

摘要:

This paper is on the subject of residually finite (=RF) modules and rings introduced by Varadarajan [93] and [98/99]. Specifically there are several theorems that simplify proofs and generalize some results of Varadarajan, namely.

ISSN:0092-7872    

DOI:10.1080/00927870008827085

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

摘要:

In this note, we determine the irreducible characters for the special linear groupSL(6,K) andSL(7,K) over an algebraically closed fieldKof characteristic 2, by using the theorem of Xi Nanhua [7] and the MATLAB software.

ISSN:0092-7872    

DOI:10.1080/00927870008827086

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

摘要:

In this paper we determine the structure of finite solvable groups with non-connected character degree graph and improve the related known results.

ISSN:0092-7872    

DOI:10.1080/00927870008827087

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927870008827088

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927870008827089

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927870008827090

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927870008827091

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

摘要:

It is known that, given a tame algebra Λ, the Tits form qΛ is weakly non negative

ISSN:0092-7872    

DOI:10.1080/00927870008827092

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor