Primitive Idempotents in Semigroups
Mathematica Moravica, Tome 5 (2001) no. 1.

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In this paper we study certain general properties of primitive and 0-primitive idempotents, and the obtained results we apply to 0-inversive E-inversive and B-inversive semigroups. We also determine some conditions under which a left ideal of a semigroup with zero generated by a nonzero idempotent is left 0-simple. The obtained results generalize some results by Venkatesan, Steinfeld, Bogdanović and Milić, Bogdanović and Ćirić, Mitsch and Petrich and others.
Mots-clés : Idempotents, Primitive idempotents, Semi-groups, E-inversive semi-groups, B-inversive semigroups, Ideals, Minimal ideals 
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Stojan Bogdanović; Miroslav Ćirić; Aleksandar Stamenković. Primitive Idempotents in Semigroups. Mathematica Moravica, Tome 5 (2001) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2001_5_1_a1/