Xie, Xiangyun On lattice-ordered Rees matrix semigroups. (English) Zbl 0856.06008 Northeast. Math. J. 11, No. 3, 297-301 (1995). 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. Cited in 1 Document MSC: 06F05 Ordered semigroups and monoids Keywords:lattice-ordered Rees matrix semigroups; \(l\)-congruence lattices Citations:Zbl 0681.06005 PDFBibTeX XMLCite \textit{X. Xie}, Northeast. Math. J. 11, No. 3, 297--301 (1995; Zbl 0856.06008)