|
The endotopism semigroups of a partial equivalence relation
Yu. V. Zhuchok, E. A. Toichkina Luhansk Taras Shevchenko National University, Starobelsk, Luhansk Region, Ukraine
Abstract:
We study the endotopism semigroups of a nonreflexive partial equivalence. We describe the existence conditions for six types of endotopisms and provide necessary and sufficient conditions for the regularity and coregularity of each of the endotopism semigroups of a given type.
Keywords:
endotopism, autotopism, partial equivalence relation, regularity, coregularity.
Received: 06.06.2021 Revised: 25.08.2021 Accepted: 11.10.2021
Citation:
Yu. V. Zhuchok, E. A. Toichkina, “The endotopism semigroups of a partial equivalence relation”, Sibirsk. Mat. Zh., 62:6 (2021), 1285–1297; Siberian Math. J., 62:6 (2021), 1039–1049
Linking options:
https://www.mathnet.ru/eng/smj7628 https://www.mathnet.ru/eng/smj/v62/i6/p1285
|
Statistics & downloads: |
Abstract page: | 178 | Full-text PDF : | 37 | References: | 41 | First page: | 5 |
|