Ideals of noncommutative $DR\ell$-monoids
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 1, pp. 97-111
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In this paper, we introduce the concept of an ideal of a noncommutative dually residuated lattice ordered monoid and we show that congruence relations and certain ideals are in a one-to-one correspondence.
Classification :
06D35, 06F05
Keywords: dually residuated lattice ordered monoid; ideal; normal ideal
Keywords: dually residuated lattice ordered monoid; ideal; normal ideal
@article{CMJ_2005__55_1_a5,
author = {K\"uhr, Jan},
title = {Ideals of noncommutative $DR\ell$-monoids},
journal = {Czechoslovak Mathematical Journal},
pages = {97--111},
publisher = {mathdoc},
volume = {55},
number = {1},
year = {2005},
mrnumber = {2121658},
zbl = {1081.06017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2005__55_1_a5/}
}
Kühr, Jan. Ideals of noncommutative $DR\ell$-monoids. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 1, pp. 97-111. http://geodesic.mathdoc.fr/item/CMJ_2005__55_1_a5/