Geodesic
A non commutative generalization of $\star$-autonomous lattices
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 725-740 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Pseudo $\star $-autonomous lattices are non-commutative generalizations of $\star $-autonomous lattices. It is proved that the class of pseudo $\star $-autonomous lattices is a variety of algebras which is term equivalent to the class of dualizing residuated lattices. It is shown that the kernels of congruences of pseudo $\star $-autonomous lattices can be described as their normal ideals.
Pseudo $\star $-autonomous lattices are non-commutative generalizations of $\star $-autonomous lattices. It is proved that the class of pseudo $\star $-autonomous lattices is a variety of algebras which is term equivalent to the class of dualizing residuated lattices. It is shown that the kernels of congruences of pseudo $\star $-autonomous lattices can be described as their normal ideals.
Classification : 03B47, 03B50, 06D35, 06F05, 06F15
Keywords: $\star$-autonomous lattice; pseudo $\star$-autonomous lattice; residuated lattice; ideal; normal ideal; congruence 
@article{CMJ_2008_58_3_a10,
     author = {Emanovsk\'y, P. and Rach\r{u}nek, J.},
     title = {A non commutative generalization of $\star$-autonomous lattices},
     journal = {Czechoslovak Mathematical Journal},
     pages = {725--740},
     year = {2008},
     volume = {58},
     number = {3},
     mrnumber = {2455934},
     zbl = {1174.06008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a10/}
}
TY  - JOUR
AU  - Emanovský, P.
AU  - Rachůnek, J.
TI  - A non commutative generalization of $\star$-autonomous lattices
JO  - Czechoslovak Mathematical Journal
PY  - 2008
SP  - 725
EP  - 740
VL  - 58
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a10/
LA  - en
ID  - CMJ_2008_58_3_a10
ER  - 
%0 Journal Article
%A Emanovský, P.
%A Rachůnek, J.
%T A non commutative generalization of $\star$-autonomous lattices
%J Czechoslovak Mathematical Journal
%D 2008
%P 725-740
%V 58
%N 3
%U http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a10/
%G en
%F CMJ_2008_58_3_a10
Emanovský, P.; Rachůnek, J. A non commutative generalization of $\star$-autonomous lattices. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 725-740. http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a10/