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Homogeneity of the radical of semigroup-graded rings

 

作者: M.V. Clase,   A.V. Kelarev,  

 

期刊: Communications in Algebra  （Taylor Available online 1994）
卷期: Volume 22, issue 12  

页码: 4963-4975

 

ISSN:0092-7872

 

年代: 1994

 

DOI:10.1080/00927879408825114

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

We show that cancellativity is a necessary condition on a semigroupSfor the Jacobson radical of allS-graded rings to be homogeneous. We introduce some related classes of semigroupsSfor which the Jacobson radical of certainS-graded rings is always homogeneous. Commutative and regular semigroups in these classes are described

 

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