MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Some decompositions of semigroups
Petar Protić, Nebojša Stevanović

Abstract

In this paper we will introduce the notion of $a$-connected elements of a semigroup, $a$-connected semigroups, and weakly externally commutative semigroup, and we prove that a weakly externally commutative semigroup is a semilattice of $a$-connected semigroups. Undefined notions can be found in [4].

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Keywords: Semigroups; semilattice; Archimedean semigroups; externally commutative semigroup.

MSC: 20M10

Pages:  153--158     

Volume  61 ,  Issue  2 ,  2009