On minimal ideals in semigroups with respect to their subsets. I.
Mathematica Bohemica, Tome 122 (1997) no. 1, pp. 1-12.

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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.
DOI : 10.21136/MB.1997.126184
Classification : 20M10, 20M12
Mots-clés : minimal left ideals with respect to subsets of semigroups; kernels with respect to subsets of semigroups; partial groups 
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Abrhan, Imrich. On minimal ideals in semigroups with respect to their subsets. I.. Mathematica Bohemica, Tome 122 (1997) no. 1, pp. 1-12. doi : 10.21136/MB.1997.126184. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.1997.126184/

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