A non commutative generalization of $\star$-autonomous lattices

Title:

A non commutative generalization of $\star$-autonomous lattices

Creator:

Emanovský, Petr and Rachůnek, Jiří

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0519dbaa-bf8b-4392-ad50-87c68c664063
uuid:0519dbaa-bf8b-4392-ad50-87c68c664063

Subject:

$\star$-autonomous lattice, pseudo $\star$-autonomous lattice, residuated lattice, ideal, normal ideal, and congruence

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

725-740

Source:

Czechoslovak Mathematical Journal | 2008 Volume:58 | Number:3

Harvested from:

CDK

Metadata only:

false