This article is cited in 4 papers

RESEARCH ARTICLE

Automorphisms of the endomorphism semigroup of a free commutative $g$-dimonoid

Yurii V. Zhuchok

Kyiv National Taras Shevchenko University, Faculty of Mechanics and Mathematics, 64, Volodymyrska Street, Kyiv, Ukraine, 01601

Abstract: We determine all isomorphisms between the endomorphism semigroups of free commutative $g$-dimonoids and prove that all automorphisms of the endomorphism semigroup of a free commutative $g$-dimonoid are quasi-inner.

Keywords: $g$-dimonoid, free commutative $g$-dimonoid, endomorphism semigroup, automorphism group.

MSC: 08A35, 08B20, 17A30

Received: 12.04.2016
Revised: 30.05.2016

Language: English

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