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On semigroups of endomorphisms of biregular algebras

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

Fu-Chien Yzung
Fu-Chien Yzung
Affiliation:
North Carolina State Universityat Raleigh Raleigh, NC 27650, U.S.A.
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Abstract

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Let A be a finite dimensional algebra over a field F. Let R and S be biregular algebras over F such that 1R ∈ R and 1S ∈ S. We show that if R/P≃A≃ S/M for each primitive ideal P in A and each primitive ideal M in S then End FR≃ End S implies R≃S.

MSC classification

Secondary: 20M25: Semigroup rings, multiplicative semigroups of rings
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 2 , March 1979 , pp. 239 - 247
Copyright
Copyright © Australian Mathematical Society 1979

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