Negation in bounded commutative $DR\ell$-monoids

Rachůnek, Jiří, and Slezák, Vladimír. "Negation in bounded commutative $DR\ell $-monoids." Czechoslovak Mathematical Journal 56.2 (2006): 755-763. <http://eudml.org/doc/31064>.

@article{Rachůnek2006,
abstract = {The class of commutative dually residuated lattice ordered monoids ($DR\ell $-monoids) contains among others Abelian lattice ordered groups, algebras of Hájek’s Basic fuzzy logic and Brouwerian algebras. In the paper, a unary operation of negation in bounded $DR\ell $-monoids is introduced, its properties are studied and the sets of regular and dense elements of $DR\ell $-monoids are described.},
author = {Rachůnek, Jiří, Slezák, Vladimír},
journal = {Czechoslovak Mathematical Journal},
keywords = {$DR\ell $-monoid; $MV$-algebra; $BL$-algebra; Brouwerian algebra; negation; DR-monoid; MV-algebra; BL-algebra; Brouwerian algebra; negation},
language = {eng},
number = {2},
pages = {755-763},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Negation in bounded commutative $DR\ell $-monoids},
url = {http://eudml.org/doc/31064},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Rachůnek, Jiří
AU - Slezák, Vladimír
TI - Negation in bounded commutative $DR\ell $-monoids
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 755
EP - 763
AB - The class of commutative dually residuated lattice ordered monoids ($DR\ell $-monoids) contains among others Abelian lattice ordered groups, algebras of Hájek’s Basic fuzzy logic and Brouwerian algebras. In the paper, a unary operation of negation in bounded $DR\ell $-monoids is introduced, its properties are studied and the sets of regular and dense elements of $DR\ell $-monoids are described.
LA - eng
KW - $DR\ell $-monoid; $MV$-algebra; $BL$-algebra; Brouwerian algebra; negation; DR-monoid; MV-algebra; BL-algebra; Brouwerian algebra; negation
UR - http://eudml.org/doc/31064
ER -