摘要:

Given a hereditary torsion functor , the class of μ-complemented modules was recently introduced by P.F. Smith and the authors as an analogue of extending modules. This current article explores this class by viewing it as a subclass ofEX, the smallest closed subcategory which contains it. As a consequence the class of μ-complemented modules is shown here to be closed under the formation of module of quotients. As toEX, we prove that it is closed under arbitrary direct products in Mod-RifRis a valuation ring. On the other hand, ifRis commutative Noetherian and μ is jansian then every μ-complemented module is a direct sum of a μ-torsion module and a semisimple, which prompted us to analyze whenEXcontains a subgenerator of this form.

ISSN:0092-7872    

DOI:10.1080/00927870008827134

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927870008827135

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927870008827136

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927870008827137

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

摘要:

In this paper the 2-modular decomposition matrices of the symmetric groupsS15S16, andS17,are determined by application of methods from computational representation theory, in particular condensation techniques, and by using the computer algebra systems GAP, MOC, and the MeatAxe.

ISSN:0092-7872    

DOI:10.1080/00927870008827138

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927870008827103

出版商:Gordon and Breach Science Publishers Ltd.    

年代:2000

数据来源: Taylor