الملخص
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.
الكلمات المفتاحية
بيانات النشر
- المعرّف الرقمي
- 10.53539/squjs.vol26iss1pp31-39
- المجلة
- مجلة جامعة السلطان قابوس للعلوم, 26(1), 31-39
- الناشر
- جامعة السلطان قابوس
- وصول مفتوح
- وصول مفتوح ذهبي
- الترخيص
- CC BY-ND 4.0
اقتبس هذه المقالة
APA 7
G.A., P. (2021). Boolean Zero Square (BZS) Semigroups. Sultan Qaboos University Journal for Science, 26(1), 31-39. https://doi.org/10.53539/squjs.vol26iss1pp31-39
MLA 9
G.A., Pinto. "Boolean Zero Square (BZS) Semigroups." Sultan Qaboos University Journal for Science, vol. 26, no. 1, 2021, pp. 31-39. https://doi.org/10.53539/squjs.vol26iss1pp31-39.
شيكاغو (المؤلف–التاريخ)
G.A., Pinto. 2021. "Boolean Zero Square (BZS) Semigroups." Sultan Qaboos University Journal for Science 26 (1): 31-39. https://doi.org/10.53539/squjs.vol26iss1pp31-39.
هارفارد
G.A., P. (2021) 'Boolean Zero Square (BZS) Semigroups', Sultan Qaboos University Journal for Science, 26(1), pp. 31-39. doi:10.53539/squjs.vol26iss1pp31-39.
فانكوفر
G.A. P. Boolean Zero Square (BZS) Semigroups. Sultan Qaboos University Journal for Science. 2021;26(1):31-39. doi:10.53539/squjs.vol26iss1pp31-39
IEEE
P. G.A., "Boolean Zero Square (BZS) Semigroups," Sultan Qaboos University Journal for Science, vol. 26, no. 1, pp. 31-39, 2021, doi: 10.53539/squjs.vol26iss1pp31-39.