On ideals of lattice ordered monoids
Mathematica Bohemica (2007)
- Volume: 132, Issue: 4, page 369-387
- ISSN: 0862-7959
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topJasem, Milan. "On ideals of lattice ordered monoids." Mathematica Bohemica 132.4 (2007): 369-387. <http://eudml.org/doc/250250>.
@article{Jasem2007,
abstract = {In the paper the notion of an ideal of a lattice ordered monoid $A$ is introduced and relations between ideals of $A$ and congruence relations on $A$ are investigated. Further, it is shown that the set of all ideals of a soft lattice ordered monoid or a negatively ordered monoid partially ordered by inclusion is an algebraic Brouwerian lattice.},
author = {Jasem, Milan},
journal = {Mathematica Bohemica},
keywords = {lattice ordered monoid; ideal; normal ideal; congruence relation; dually residuated lattice ordered monoid; ideal; normal ideal; congruence relation; dually residuated lattice-ordered monoid},
language = {eng},
number = {4},
pages = {369-387},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On ideals of lattice ordered monoids},
url = {http://eudml.org/doc/250250},
volume = {132},
year = {2007},
}
TY - JOUR
AU - Jasem, Milan
TI - On ideals of lattice ordered monoids
JO - Mathematica Bohemica
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 132
IS - 4
SP - 369
EP - 387
AB - In the paper the notion of an ideal of a lattice ordered monoid $A$ is introduced and relations between ideals of $A$ and congruence relations on $A$ are investigated. Further, it is shown that the set of all ideals of a soft lattice ordered monoid or a negatively ordered monoid partially ordered by inclusion is an algebraic Brouwerian lattice.
LA - eng
KW - lattice ordered monoid; ideal; normal ideal; congruence relation; dually residuated lattice ordered monoid; ideal; normal ideal; congruence relation; dually residuated lattice-ordered monoid
UR - http://eudml.org/doc/250250
ER -
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