Volume no :19, Issue no: 2, June (2018)

REES CONGRUENCES ON RESIDUATED SEMIGROUPS

Author's: C. Nkuimi-Jugnia and A. Ogadoa
Pages: [67] - [77]
Received Date: March 16, 2018; Revised April 5, 2018
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121940

Abstract

Residuated semigroups form an important class of ordered algebra which can regarded a generalisation of quantales. We study the notion of quotient on a residuated semigroup extending some results of [27] to them. A particular attention is put on Rees congruences on residuated semigroups.

Keywords

ordered monoids, congruences.