Volume no :16, Issue no: 2, December (2016)

Journal of Algebra, Number Theory: Advances and Applications

SEMIGROUPS OF CENTERED UPFAMILIES ON FINITE MONOGENIC SEMIGROUPS

Author's: Volodymyr Gavrylkiv
Pages: [71] - [84]
Received Date: September 19, 2016; Revised November 12, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121719

Abstract

Given a finite monogenic semigroup S, we study the minimal ideal, the center, left cancelable, and right cancelable elements of the extension consisting of centered upfamilies on S and characterize monogenic semigroups whose extensions are commutative.

Keywords

monogenic semigroup, centered upfamily, zero, minimal ideal, commutative.