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 (MSC 1991): 20M10, 20M12
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