Dually residuated $\ell$-monoids having no non-trivial convex subalgebras
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 45 (2006) no. 1, pp. 103-108
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In this note we describe the structure of dually residuated $\ell $-monoids ($\mathit{DR}\ell $-monoids) that have no non-trivial convex subalgebras.
In this note we describe the structure of dually residuated $\ell $-monoids ($\mathit{DR}\ell $-monoids) that have no non-trivial convex subalgebras.
Classification :
03G25, 06F05
Keywords: $\mathit{DR}\ell $-monoid; $\mathit{GPMV}$-algebra; Archimedean property
Keywords: $\mathit{DR}\ell $-monoid; $\mathit{GPMV}$-algebra; Archimedean property
@article{AUPO_2006_45_1_a9,
author = {K\"uhr, Jan},
title = {Dually residuated $\ell$-monoids having no non-trivial convex subalgebras},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {103--108},
year = {2006},
volume = {45},
number = {1},
mrnumber = {2321302},
zbl = {1125.06012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2006_45_1_a9/}
}
TY - JOUR AU - Kühr, Jan TI - Dually residuated $\ell$-monoids having no non-trivial convex subalgebras JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica PY - 2006 SP - 103 EP - 108 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/item/AUPO_2006_45_1_a9/ LA - en ID - AUPO_2006_45_1_a9 ER -
%0 Journal Article %A Kühr, Jan %T Dually residuated $\ell$-monoids having no non-trivial convex subalgebras %J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica %D 2006 %P 103-108 %V 45 %N 1 %U http://geodesic.mathdoc.fr/item/AUPO_2006_45_1_a9/ %G en %F AUPO_2006_45_1_a9
Kühr, Jan. Dually residuated $\ell$-monoids having no non-trivial convex subalgebras. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 45 (2006) no. 1, pp. 103-108. http://geodesic.mathdoc.fr/item/AUPO_2006_45_1_a9/