Negation in bounded commutative $DR\ell$-monoids

Title:

Negation in bounded commutative $DR\ell$-monoids

Creator:

Rachůnek, Jiří and Slezák, Vladimír

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f1efa595-7b83-44bb-9d3b-be9bf2a79ff7
uuid:f1efa595-7b83-44bb-9d3b-be9bf2a79ff7

Subject:

$DR\ell $-monoid, $MV$-algebra, $BL$-algebra, Brouwerian algebra, and negation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

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

Coverage:

755-763

Source:

Czechoslovak Mathematical Journal | 2006 Volume:56 | Number:2

Harvested from:

CDK

Metadata only:

false