PRODUCTS OF IDEMPOTENT ENDOMORPHISMS OF AN INDEPENDENCE ALGEBRA OF FINITE RANK

被引：53

作者：

FOUNTAIN, J ^{[1
]}

LEWIN, A ^{[1
]}

机构：

[1] UNIV YORK,DEPT MATH,YORK YO1 5DD,N YORKSHIRE,ENGLAND

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1992年 / 35卷

关键词：

D O I：

10.1017/S0013091500005769

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Products of idempotents are investigated in the endomorphism monoid of an algebra belonging to a class of algebras which includes finite sets and finite dimensional vector spaces as special cases. It is shown that every endomorphism which is not an automorphism is a product of idempotent endomorphisms. This provides a common generalisation of earlier results of Howie and Erdos for the cases when the algebra is a set or vector space respectively.

引用

页码：493 / 500

页数：8

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