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On Closedness of Subvarieties of Bands | ||
| Journal of Algebra and Related Topics | ||
| دوره 14، S1، تیر 2026، صفحه 235-245 اصل مقاله (143.24 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2026.27992.1692 | ||
| نویسندگان | ||
| Sh. Abbas؛ W. Ashraf* ؛ A. Prakash | ||
| Department of Mathematics, Aligarh Muslim University, Aligarh, India | ||
| چکیده | ||
| In this paper, first we proved that all subvarieties of the variety of left (right) regular bands are closed in the variety of $n$-nilpotent extension of bands. Secondly, we proved the closedness of rectangular bands in the variety $\mathcal{V}=[ac=ab^nc]$ $(n\in \bf N)$, of semigroups. Further, we have shown that all subvarieties of the variety of left (right) normal bands are closed in the variety $\mathcal{V}=[axy=a^py^qx^r]$ $(p,q,r\in \bf N)$, of semigroups and lastly, we proved that all subvarieties of the variety of left (right) quasinormal bands are closed in the variety $\mathcal{V}=[axy=a^px^qa^ry]$ $(p,q,r\in \bf N)$, of semigroups. | ||
| کلیدواژهها | ||
| Zigzag equations؛ Dominions؛ Rectangular؛ Varieties | ||
| مراجع | ||
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[1] S. A. Ahanger and A. H. Shah, Epimorphisms, dominions and varieties of bands, Semigroup Forum, 100 (2020), 641–650 [2] N. Alam and N. M. Khan, Special semigroup amalgams of quasi unitary subsemigroups and of quasi normal bands, Asian-European Journal of Mathematics, (1) 6 (2023). [3] N. Alam and N. M. Khan, On closed and supersaturated semigroups, Malaysian Journal of Mathematical Sciences, (3) 3 (2015), 409–416. [4] N. Alam and N. M. Khan, Epimorphisms, closed and supersaturated semigroups, Communications in Algebra, (8) 42 (2014), 3137–3146. [5] A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, Mathematical Surveys and Monographs, 7, American Mathematical Society, Providence, RI, 1961. [6] C. Fennemore, All varieties of bands, Semigroup Forum, 1 (1970), 172–179. [7] P. M. Higgins, Techniques of Semigroup Theory, Oxford University Press, Oxford, 1992. [8] J. M. Howie, Fundamentals of Semigroup Theory, Clarendon Press, Oxford, 1995. [9] J. R. Isbell, Epimorphisms and dominions, Proceedings of the conference on Categorical Algebra, Eilenberg, Samuel and Harrison, D. K. and MacLane, Saunders and Röhrl, Helmut, (1966), 232–246. [10] N. M. Khan, On saturated permutative varieties and consequences of permutation identities, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 38 (1985), 186–197. [11] M. Petrich, Lectures in Semigroups, Wiley, New York, 1977. [12] H. E. Scheiblich, On epis and dominions of bands, Semigroup Forum, 13 (1976), 103–114. | ||
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