This article is cited in 9 papers

RESEARCH ARTICLE

Free abelian dimonoids

Yurii V. Zhuchok

National Taras Shevchenko University of Kyiv, The Faculty of Mechanics and Mathematics

Abstract: We construct a free abelian dimonoid and describe the least abelian congruence on a free dimonoid. Also we show that free abelian dimonoids are determined by their endomorphism semigroups.

Keywords: free abelian dimonoid, abelian dimonoid, congruence, endomorphism semigroup.

MSC: 08B20, 17A30, 08A30, 08A35

Received: 20.04.2015
Revised: 29.11.2015

Language: English

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