Superextensions of cyclic semigroups

Authors

V.M. Gavrylkiv Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine

https://doi.org/10.15330/cmp.5.1.36-43

Keywords:

cyclic semigroup, maximal linked system, superextensions

Published online: 2013-06-18

Abstract

Given a cyclic semigroup $S$ we study right and left zeros, singleton left ideals, the minimal ideal, left cancelable and right cancelable elements of superextensions $\lambda(S)$ and characterize cyclic semigroups whose superextensions are commutative.

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Gavrylkiv, V. Superextensions of Cyclic Semigroups. Carpathian Math. Publ. 2013, 5, 36-43.

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