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- Title
Boolean Zero Square (BZS) Semigroups.
- Authors
Pinto, G. A.
- 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 π₯ β π, we have π₯Β² = π₯ or π₯Β² = 0. We obtain some properties that describe the behaviour of the Greenβs equivalence relations β, β, β and π. 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.
- Subjects
SQUARE
- Publication
Sultan Qaboos University Journal for Science, 2021, Vol 26, Issue 1, p31
- ISSN
1027-524X
- Publication type
Article
- DOI
10.53539/squjs.vol26iss1pp31-39