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On Closedness of Subvarieties of Bands | ||
| Journal of Algebra and Related Topics | ||
| دوره 14، Special Issue- Dedicated to the memory of Jürgen Herzog (1941-2024).، 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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آمار تعداد مشاهده مقاله: 23 تعداد دریافت فایل اصل مقاله: 27 |
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