This article is cited in 1 paper

RESEARCH ARTICLE

Automorphisms of the endomorphism semigroup of a free abelian diband

Yurii V. Zhuchok

Luhansk Taras Shevchenko National University, Gogol square 1, Starobilsk, Ukraine, 92703

Abstract: We determine all isomorphisms between the endomorphism semigroups of free abelian dibands and prove that all automorphisms of the endomorphism semigroup of a free abelian diband are inner.

Keywords: dimonoid, free abelian diband, endomorphism semigroup, automorphism.

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

Received: 19.06.2018
Revised: 30.06.2018

Language: English