[
    {
        "id": "osp-13837",
        "type": "article-journal",
        "title": "N5 as a Subalgebra of a Principally Ordered Naturally Ordered Regular Semigroup with a Zero Element",
        "author": [
            {
                "family": "Pinto",
                "given": "Gama"
            }
        ],
        "URL": "https://omanscience.com/ar/articles/n5-as-a-subalgebra-of-a-principally-ordered-naturally-ordered-regular-semigroup-with-a-zero-element",
        "language": "en",
        "issued": {
            "date-parts": [
                [
                    2025
                ]
            ]
        },
        "container-title": "Sultan Qaboos University Journal for Science",
        "volume": "30",
        "issue": "2",
        "page": "97-101",
        "DOI": "10.53539/2414-536x.1404",
        "publisher": "Sultan Qaboos University",
        "ISSN": "2308-3921",
        "abstract": "We start with a basic and technical result: If S is a principally ordered regular semigroup that has a zero element, 0, then 0* is the biggest element (in fact, idempotent) of S. We obtain necessary and sufficient conditions for a principally ordered naturally ordered regular semigroup, S, with a zero element, to have as a subalgebra an ordered and algebraic isomorphic copy of N5, the smallest naturally ordered non-orthodox regular semigroup with a biggest idempotent."
    }
]