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Communications in Algebra Volume 41, 2013 - Issue 9
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Original Articles

Linear Representation of Medial-Like Algebras

Amir Ehsani Department of Mathematics, Mahshahr Branch, Islamic Azad University, Mahshahr, IranCorrespondence[email protected]
&
Yuri Movsisyan Department of Mathematics and Mechanics, Yerevan State University, Yerevan, Armenia
Pages 3429-3444 | Received 29 Feb 2012, Published online: 21 Jun 2013
 
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Abstract

In this paper we characterize the paramedial, comedial, and coparamedial pairs of quasigroup operations and paramedial, comedial, and coparamedial algebras with the quasigroup operations. Then we characterize paramedial, comedial, and coparamedial algebras with a unit element and an idempotent regular element.

2010 Mathematics Subject Classification:

Notes

Communicated by V. A. Artamonov.

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