Primitive idempotents in semi-groups
Stojan Bogdanović, Miroslav Ćirić, Aleksandar Stamenković · Mathematica Moravica · 2001
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 semi-groups. We also determine some conditions under which a left ideal of a semi-group 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.