This article is cited in 1 paper

The endomorphism semigroup of a free dimonoid of rank 1

Yurii V. Zhuchok

Kyiv Taras Shevchenko National University, Department of Mechanics and Mathematics, Volodymyrska str., 64, 01033 Kyiv, Ukraine

Abstract: We describe all endomorphisms of a free dimonoid of rank 1 and construct a semigroup which is isomorphic to the endomorphism semigroup of this free dimonoid. Also, we give an abstract characteristic for the endomorphism semigroup of a free dimonoid of rank 1.

Keywords and phrases: free dimonoid, endomorphism semigroup, isomorphism.

MSC: 08A05

Received: 05.05.2014

Language: English