THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP | ||
| Journal of Algebraic Systems | ||
| مقاله 5، دوره 6، شماره 1، آذر 2018، صفحه 59-70 اصل مقاله (175.69 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2018.5360.1273 | ||
| نویسندگان | ||
| N. Ashrafi* 1؛ Z. Yazdanmehr2 | ||
| 1Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran. Email: nashrafi@semnan.ac.ir | ||
| 2Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran. Email: zhyazdanmehr@gmail.com | ||
| چکیده | ||
| In this paper we investigate some properties of congruences on ternary semigroups. We also define the notion of congruence on a ternary semigroup generated by a relation and we determine the method of obtaining a congruence on a ternary semigroup T from a relation R on T. Furthermore we study the lattice of congruences on a ternary semigroup and we show that this lattice is not generally modular, it is not even semimodular. Then we indicate some conditions under which this lattice is modular. | ||
| کلیدواژهها | ||
| Ternary semigroup؛ congruence؛ Lattice | ||
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آمار تعداد مشاهده مقاله: 514 تعداد دریافت فایل اصل مقاله: 548 |
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