Local bounded commutative residuated $\ell$-monoids
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 1, pp. 395-406
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
Bounded commutative residuated lattice ordered monoids ($R\ell $-monoids) are a common generalization of, e.g., $BL$-algebras and Heyting algebras. In the paper, the properties of local and perfect bounded commutative $R\ell $-monoids are investigated.
Bounded commutative residuated lattice ordered monoids ($R\ell $-monoids) are a common generalization of, e.g., $BL$-algebras and Heyting algebras. In the paper, the properties of local and perfect bounded commutative $R\ell $-monoids are investigated.
Classification :
06D20, 06D35, 06F05, 06F35
Keywords: residuated $\ell $-monoid; residuated lattice; $BL$-algebra; $MV$-algebra; local $R\ell $-monoid; filter
Keywords: residuated $\ell $-monoid; residuated lattice; $BL$-algebra; $MV$-algebra; local $R\ell $-monoid; filter
@article{CMJ_2007_57_1_a29,
author = {Rach\r{u}nek, Ji\v{r}{\'\i} and \v{S}alounov\'a, Dana},
title = {Local bounded commutative residuated $\ell$-monoids},
journal = {Czechoslovak Mathematical Journal},
pages = {395--406},
year = {2007},
volume = {57},
number = {1},
mrnumber = {2309973},
zbl = {1174.06331},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2007_57_1_a29/}
}
Rachůnek, Jiří; Šalounová, Dana. Local bounded commutative residuated $\ell$-monoids. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 1, pp. 395-406. http://geodesic.mathdoc.fr/item/CMJ_2007_57_1_a29/