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Group algebras and enveloping algebras with nonmatrix and semigroup identities

 

作者: David M. Riley,   Mark C. Wilson,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 7  

页码: 3545-3556

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826645

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Primary: 16R40;Secondary:16S30;Secondary:17B35;Secondary:20C07

 

数据来源: Taylor

 

摘要:

LetKbe a field of characteristicp> 0. Denote by ω(R) the augmentation ideal of either a group algebra (R) =K[G] or a restricted enveloping algebraR=u(L) overK. We first characterize thoseRfor which ω(R) satisfies a polynomial identity not satisfied by the algebra of all 2 × 2 matrices overK. Then, we examine thoseRfor whichUJ(R) satisfies a semigroup identity (that is, a polynomial identity which can be written as the difference of two monomials).

 

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