[
    {
        "id": "osp-13794",
        "type": "article-journal",
        "title": "Boolean Zero Square (BZS) Semigroups",
        "author": [
            {
                "family": "G.A.",
                "given": "Pinto"
            }
        ],
        "URL": "https://omanscience.com/ar/articles/boolean-zero-square-bzs-semigroups",
        "language": "en",
        "issued": {
            "date-parts": [
                [
                    2021
                ]
            ]
        },
        "container-title": "Sultan Qaboos University Journal for Science",
        "volume": "26",
        "issue": "1",
        "page": "31-39",
        "DOI": "10.53539/squjs.vol26iss1pp31-39",
        "publisher": "Sultan Qaboos University",
        "ISSN": "2308-3921",
        "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."
    }
]