الملخص
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 integer, , such that . Necessary and sufficient conditions for an eventually pointed principally ordered regular semigroup to be naturally ordered and to be completely simple are obtained. We describe the subalgebra of generated by a pair of comparable idempotents and such that .
الكلمات المفتاحية
بيانات النشر
- المعرّف الرقمي
- 10.24200/squjs.vol24iss2pp139-146
- المجلة
- مجلة جامعة السلطان قابوس للعلوم, 24(2), 139
- الناشر
- جامعة السلطان قابوس
- وصول مفتوح
- وصول مفتوح ذهبي
- الترخيص
- CC BY 4.0
اقتبس هذه المقالة
APA 7
Pinto, G. (2020). Eventually Pointed Principally Ordered Regular Semigroups. Sultan Qaboos University Journal for Science, 24(2), 139. https://doi.org/10.24200/squjs.vol24iss2pp139-146
MLA 9
Pinto, Gama. "Eventually Pointed Principally Ordered Regular Semigroups." Sultan Qaboos University Journal for Science, vol. 24, no. 2, 2020, pp. 139. https://doi.org/10.24200/squjs.vol24iss2pp139-146.
شيكاغو (المؤلف–التاريخ)
Pinto, Gama. 2020. "Eventually Pointed Principally Ordered Regular Semigroups." Sultan Qaboos University Journal for Science 24 (2): 139. https://doi.org/10.24200/squjs.vol24iss2pp139-146.
هارفارد
Pinto, G. (2020) 'Eventually Pointed Principally Ordered Regular Semigroups', Sultan Qaboos University Journal for Science, 24(2), pp. 139. doi:10.24200/squjs.vol24iss2pp139-146.
فانكوفر
Pinto G. Eventually Pointed Principally Ordered Regular Semigroups. Sultan Qaboos University Journal for Science. 2020;24(2):139. doi:10.24200/squjs.vol24iss2pp139-146
IEEE
G. Pinto, "Eventually Pointed Principally Ordered Regular Semigroups," Sultan Qaboos University Journal for Science, vol. 24, no. 2, pp. 139, 2020, doi: 10.24200/squjs.vol24iss2pp139-146.