Abstract
We introduce a new class of semigroups, that we call BZS - Boolean Zero Square-semigroups. A semigroup S with a zero element, 0, is said to be a BZS semigroup if, for every , we have or . We obtain some properties that describe the behaviour of the Green’s equivalence relations , , and . Necessary and sufficient conditions for a BZS semigroup to be a band and an inverse semigroup are obtained. A characterisation of a special type of BZS completely 0-simple semigroup is presented.
Recommended Citation
G.A., Pinto
(2021)
Boolean Zero Square (BZS) Semigroups,
Sultan Qaboos University Journal For Science: Vol. 26:
Iss.
1, 31-39.
DOI: https://doi.org/10.53539/squjs.vol26iss1pp31-39
Available at:
https://squjs.squ.edu.om/squjs/vol26/iss1/4