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On lattice-ordered Rees matrix semigroups. (English) Zbl 0856.06008

Summary: The purpose of this note is to reveal some properties of lattice-ordered Rees matrix semigroups introduced by T. Merlier [Czech. Math. J. 38, 573-577 (1988; Zbl 0681.06005)]. A structure theorem for \(l\)-congruence lattices of \(l\)-semigroups \(S= \mu^0(G; I, \Lambda; P_e)\) is given, from which it follows that these \(l\)-congruence lattices are distributive.

MSC:

06F05 Ordered semigroups and monoids

Citations:

Zbl 0681.06005
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