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Saturated and absolutely closed posemigroups | ||
| Journal of Algebra and Related Topics | ||
| دوره 14، شماره 1، آبان 2026، صفحه 183-198 اصل مقاله (173.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2026.29417.1751 | ||
| نویسندگان | ||
| S. A. Ahanger* 1؛ S. A. Mir2؛ A. H. Bhat3 | ||
| 1Department of Mathematics, Central University of Kashmir, Ganderbal, India | ||
| 2Desh Bhagat University, Punjab, India | ||
| 3Goverment Degree College Shopian, Jammu and Kashmir, India | ||
| چکیده | ||
| We show that commutative inverse posemigroups and finite monogenic posemigroups are saturated in the category of all posemigroups. Further, we show that the variety of pobands satisfying the identity $axya=ayxa$ is closed as well as saturated. Finally, we show that the convex finite monogenic posemigroups and inverse posemigroups are absolutely closed in the category of all commutative posemigroups. | ||
| کلیدواژهها | ||
| Posemigroup؛ Dominion؛ Zigzag Inequalities؛ Permutative؛ Variety | ||
| مراجع | ||
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[1] S. A. Ahanger and A. H. Shah, On zigzag theorem for commutative pomonoids and certain closed and absolutely closed monoids and pomonoids, Contrbutions to Algebrra and Geometry, (1) 71 (2019), 9–21. [2] S. A. Ahanger and A. H. Shah, Epis, dominions and varieties of commutative posemigroups, Asian-European Journal of Mathematics, (4) 14 (2021), 14 pages. [3] S. A. Ahanger,A . H. Shah and N. M. Khan, Permutative varieties of posemigroups, Commuications in Algebra, (7) 49 (2021), 2758-2774. [4] A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, Math. Surveys, Vol. I, II, (1961, 1967). [5] P. M. Higgins, Epis are onto for generalised inverse semigroups, Semigroup Forum, 23 (1981), 255-259. [6] J. M. Howie and J. R. Isbell, Epimorphisms and dominions II, J. Algebra, 6 (1967), 7-21. [7] J. M. Howie, Fundamentals of Semigroup Theory, Clarendon Press, Oxford, 1995. [8] H. E. Scheiblich, On epics and domonions of bands, Semigroup Forum, 13 (1976), 103-114. [9] N. Sohail and L. Tart, Dominions, zigzags and epimorphism for partially ordered semigroups, Acta Commen. Univ. Tartu. Math., (1) 18 (2014), 81-91. | ||
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آمار تعداد مشاهده مقاله: 63 تعداد دریافت فایل اصل مقاله: 86 |
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