Interior and closure operators on bounded residuated lattice ordered monoids

Filip Švrček

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 2, page 345-357
  • ISSN: 0011-4642

Abstract

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G M V -algebras endowed with additive closure operators or with its duals-multiplicative interior operators (closure or interior G M V -algebras) were introduced as a non-commutative generalization of topological Boolean algebras. In the paper, the multiplicative interior and additive closure operators on D R l -monoids are introduced as natural generalizations of the multiplicative interior and additive closure operators on G M V -algebras.

How to cite

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Švrček, Filip. "Interior and closure operators on bounded residuated lattice ordered monoids." Czechoslovak Mathematical Journal 58.2 (2008): 345-357. <http://eudml.org/doc/31214>.

@article{Švrček2008,
abstract = {$GMV$-algebras endowed with additive closure operators or with its duals-multiplicative interior operators (closure or interior $GMV$-algebras) were introduced as a non-commutative generalization of topological Boolean algebras. In the paper, the multiplicative interior and additive closure operators on $DRl$-monoids are introduced as natural generalizations of the multiplicative interior and additive closure operators on $GMV$-algebras.},
author = {Švrček, Filip},
journal = {Czechoslovak Mathematical Journal},
keywords = {$GMV$-algebra; $DRl$-monoid; filter; GMV-algebra; DR-monoid; filter},
language = {eng},
number = {2},
pages = {345-357},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Interior and closure operators on bounded residuated lattice ordered monoids},
url = {http://eudml.org/doc/31214},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Švrček, Filip
TI - Interior and closure operators on bounded residuated lattice ordered monoids
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 2
SP - 345
EP - 357
AB - $GMV$-algebras endowed with additive closure operators or with its duals-multiplicative interior operators (closure or interior $GMV$-algebras) were introduced as a non-commutative generalization of topological Boolean algebras. In the paper, the multiplicative interior and additive closure operators on $DRl$-monoids are introduced as natural generalizations of the multiplicative interior and additive closure operators on $GMV$-algebras.
LA - eng
KW - $GMV$-algebra; $DRl$-monoid; filter; GMV-algebra; DR-monoid; filter
UR - http://eudml.org/doc/31214
ER -

References

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