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On base radical and semisimple operators for a class of finite algebras
Journal article   Peer reviewed

On base radical and semisimple operators for a class of finite algebras

Lauren K Thornton
Beiträge zur Algebra und Geometrie [Contributions to Algebra and Geometry], Vol.59(2), pp.361-374
2018
url
https://doi.org/10.1007/s13366-017-0371-5View
Published Version

Abstract

radical class semisimple class base radical operator semigroup
In this paper we determine the base radical and semisimple class operators for universal classes in a finite setting using algebras introduced by Puzcyłowski. The six possible orders for the semigroup they form are at most 14. A complete listing of base radical and semisimple operators for a number of different universal classes is provided.

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