Free abelian dimonoids
Algebra and discrete mathematics, Tome 20 (2015) no. 2, pp. 330-342

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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.
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     author = {Yurii V. Zhuchok},
     title = {Free abelian dimonoids},
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Yurii V. Zhuchok. Free abelian dimonoids. Algebra and discrete mathematics, Tome 20 (2015) no. 2, pp. 330-342. http://geodesic.mathdoc.fr/item/ADM_2015_20_2_a10/