1. On ideals of lattice ordered monoids
- Creator:
- Jasem, Milan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- lattice ordered monoid, ideal, normal ideal, congruence relation, and dually residuated lattice ordered monoid
- Language:
- English
- Description:
- In the paper the notion of an ideal of a lattice ordered monoid A is introduced and relations between ideals of A and congruence relations on A are investigated. Further, it is shown that the set of all ideals of a soft lattice ordered monoid or a negatively ordered monoid partially ordered by inclusion is an algebraic Brouwerian lattice.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public