skip to main content

SciTech ConnectSciTech Connect

Title: The endotopism semigroups of an equivalence relation

In this work we investigate six types of endotopism semigroups for a given equivalence relation. Necessary and sufficient conditions for the existence of all such endotopisms are presented. Conditions for the regularity and coregularity of each of the endotopism semigroups of a given type are established. The notion of the endotype of a binary relation with respect to its endotopisms is introduced and the endotype of an arbitrary equivalence relation is calculated. Bibliography: 26 titles.
Authors:
 [1] ;  [2]
  1. National Taras Shevchenko University of Kiev (Ukraine)
  2. Lugansk Taras Shevchenko National University, Lugansk (Ukraine)
Publication Date:
OSTI Identifier:
22365152
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 5; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; GROUP THEORY; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE