MATHEMATICA BOHEMICA, Vol. 122, No. 1, pp. 1-12 (1997)

On minimal ideals in semigroups with respect to their subsets, I

Imrich Abrhan

Imrich Abrhan, Department of Mathematics, Faculty of Mechanical Engineering, Slovak Technical University, Nam. slobody 17, 812 31 Bratislava, Slovakia

Abstract: In the paper, the following concept are defined:
(i) a minimal left (right, two-sided) ideal with respect to a subset $B$ of a semigroup $S$,
(ii) a kernel with respect to a subset $B$ of a semigroup $S$, and their basic properties are investigated.

Keywords: minimal left (right, two-sided) ideal with respect to a subset $B$ of a semigroup $S$, kernel with respect to a subset $B$ of a semigroup $S$, partial group

Classification (MSC2000): 20M10, 20M12

Full text of the article:

[Next Article] [Contents of this Number] [Journals Homepage]
© 1999--2000 ELibM for the EMIS Electronic Edition