Regularity of semigroups of transformations whose characters form the semigroup of a \(\Delta\)-structure
Summary: In this paper, we make use of the notion of the character of a transformation on a fixed set \(X\), provided by \textit{P. Purisang} and the first author [Commun. Korean Math. Soc. 31, No. 2, 217--227 (2016; Zbl 1341.20063)], and the notion of a \(\Delta\)-structure on \(X\), provided by \textit{K. D. Magill jun.} and \textit{S. Subbiah} [Can. J. Math. 26, 1484--1497 (1974; Zbl 0316.20041)], to define a sub-semigroup of the full-transformation semigroup \(T(X)\). We also define a sub-semigroup of that semigroup. The regularity of those two semigroups is also studied.
scientific article; zbMATH DE number 7360731
scientific article