Residuated relational systems

Author:

Bonzio Stefano1,Chajda Ivan2

Affiliation:

1. University of Cagliari, Cagliari, Italy

2. Palacký University Olomouc, Olomouc, Czech Republic

Abstract

The aim of the present paper is to generalize the concept of residuated poset, by replacing the usual partial ordering by a generic binary relation, giving rise to relational systems which are residuated. In particular, we modify the definition of adjointness in such a way that the ordering relation can be harmlessly replaced by a binary relation. By enriching such binary relation with additional properties, we get interesting properties of residuated relational systems which are analogical to those of residuated posets and lattices.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Shift filters of quasi-ordered residuated system;Communications in Advanced Mathematical Sciences;2022-09-30

2. Three types of prime filters in strong quasi-ordered residuated system;Annals of the University of Craiova, Mathematics and Computer Science Series;2022-06-24

3. Weakly Irreducible Filter in Strong Quasi-Ordered Residuated Systems;Contributions to Mathematics;2021-12-15

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