摘要:

Let R be a ring and M a right R-module. The module M is aCS-module or satifies (C1) if every submodule is essential in a direct summand of M. In this note we investigate two generalizations of CS-modules.

ISSN:0092-7872    

DOI:10.1080/00927879308824655

出版商:Marcel Dekker, Inc.    

年代:1993

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879308824656

出版商:Marcel Dekker, Inc.    

年代:1993

数据来源: Taylor

摘要:

Let d b e a nilpotent derivation of a semiprime ring R. It is proved that the subring of constantsis non-nilpotent. The result is applied to algebraic derivations of semiprime algebras and to the actions of certain finite dimensional Lie algebras on semiprime associative algebras.

ISSN:0092-7872    

DOI:10.1080/00927879308824657

出版商:Marcel Dekker, Inc.    

年代:1993

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879308824658

出版商:Marcel Dekker, Inc.    

年代:1993

数据来源: Taylor

摘要:

In this paper, we prove t h a t the Lie group of typeE8hw a unique conjugacy class of subgroups isomorphic to the finite simple groupL(2 61) of linear fractional transformations over t h e field of 6 1 elements. This result settles the last open case of a conjecture made by B. Kostant in 1983 [Iiost] concerning the occurrence of the finite simple groupin a complex simple Lie group with Coxeter numberh. It also settles a case left open in the classifications of finite simple subgroups ofobtained by the first two authors in 1987.

ISSN:0092-7872    

DOI:10.1080/00927879308824659

出版商:Marcel Dekker, Inc.    

年代:1993

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879308824660

出版商:Marcel Dekker, Inc.    

年代:1993

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879308824661

出版商:Marcel Dekker, Inc.    

年代:1993

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879308824662

出版商:Marcel Dekker, Inc.    

年代:1993

数据来源: Taylor

摘要:

The ringDGderived from the group ringKGis shown to posses exactly one pseudo-rank function in caseGis an infinite, but locally and residually finite, group andKis a field. The function is described naturally as the limit of the sequence of normalized ranks of all approximation matrices. This fact is applied to an investigation of the direct finiteness of the maximal quotient ring ofDG.

ISSN:0092-7872    

DOI:10.1080/00927879308824663

出版商:Marcel Dekker, Inc.    

年代:1993

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879308824664

出版商:Marcel Dekker, Inc.    

年代:1993

数据来源: Taylor