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MATHEMATICA BOHEMICA, Vol. 122, No. 1, pp. 1-12 (1997)
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On minimal ideals in semigroups with respect to their subsets, I

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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:**

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