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Research article Open access

Boolean Zero Square (BZS) Semigroups

Pinto G.A. · Sultan Qaboos University Journal for Science · 2021 · 10.53539/squjs.vol26iss1pp31-39

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 condit …

Research article Open access

Eventually Pointed Principally Ordered Regular Semigroups

Gama Pinto · Sultan Qaboos University Journal for Science · 2020 · 10.24200/squjs.vol24iss2pp139-146

An ordered regular semigroup, , is said to be principally ordered if for every there exists . A principally ordered regular semigroup is pointed if for every element, we have . Here we investigate those principally ordered regular semigroups that are eventually pointed in the sense that for all there exists a positive …

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