Open AccessSuperextensions of cyclic semigroups
Author(s) -
Volodymyr Gavrylkiv
Publication year - 2013
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.5.1.36-43
Subject(s) - mathematics , semigroup , ideal (ethics) , commutative property , singleton , pure mathematics , lambda , minimal ideal , discrete mathematics , maximal ideal , combinatorics , law , pregnancy , physics , optics , biology , genetics , political science
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.