A binary operation-based representation of a lattice

Title:

A binary operation-based representation of a lattice

Creator:

Yettou, Mourad , Amroune, Abdelaziz , and Zedam, Lemnaouar

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:2a375cc5-fae3-4c09-8471-2a4c8ad75d3a
uuid:2a375cc5-fae3-4c09-8471-2a4c8ad75d3a
doi:10.14736/kyb-2019-2-0252

Subject:

binary operation, lattice, neutral element, and lattice representation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, we study and characterize some properties of a given binary operation on a lattice. More specifically, we show necessary and sufficient conditions under which a binary operation on a lattice coincides with its meet (resp. its join) operation. Importantly, we construct two new posets based on a given binary operation on a lattice and investigate some cases that these two posets have a lattice structure. Moreover, we provide some representations of a given lattice based on these new constructed lattices.

Language:

English

Rights:

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

Coverage:

252-272

Source:

Kybernetika | 2019 Volume:55 | Number:2

Harvested from:

CDK

Metadata only:

false