A duality between algebras of basic logic and bounded representable DRl-monoids

Title:

A duality between algebras of basic logic and bounded representable DRl-monoids

Creator:

Rachůnek, Jiří

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:9586b12f-f03a-4119-b3c6-18721ba6bb31
uuid:9586b12f-f03a-4119-b3c6-18721ba6bb31

Subject:

BL-algebra, MV -algebra, bounded DRl-monoid, representable DRl-monoid, and prime spectrum

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

BL-algebras, introduced by P. Hájek, form an algebraic counterpart of the basic fuzzy logic. In the paper it is shown that BL-algebras are the duals of bounded representable DRl-monoids. This duality enables us to describe some structure properties of BL-algebras.

Language:

English

Rights:

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

Coverage:

561-569

Source:

Mathematica bohemica | 2001 Volume:126 | Number:3

Harvested from:

CDK

Metadata only:

false