Pseudo Quasi-Ordered Residuated Systems, An Introduction

Romano, Daniel A.

doi:10.28919/cpr-pajm/1-12

Research article

Pseudo Quasi-Ordered Residuated Systems, An Introduction

Daniel A. Romano

Abstract

The concept of quasi-ordered residuated systems was introduced in 2018 by S. Bonzio and I. Chajda as a generalization of both hoop-algebras and commutative residuated lattices ordered by quasi-orders. The substructures of ideals and filters in such algebraic structures were considered by the author. This paper introduces and analyzes the concept of pseudo quasi-ordered residuated systems as a non-commutative generalization of quasi-ordered residuated systems with left and right residuum operations. Also, this paper discusses the concepts of ideals and filters in pseudo quasi-ordered residuated systems.

How to cite

D. A. Romano, Pseudo Quasi-Ordered Residuated Systems, An Introduction, Pan-Amer. J. Math. 1 (2022), 12. https://doi.org/10.28919/cpr-pajm/1-12

BibTeX

@article{Romano2022,
  author  = {Romano, Daniel A.},
  title   = {Pseudo Quasi-Ordered Residuated Systems, An Introduction},
  journal = {Pan-Amer. J. Math.},
  volume  = {1},
  year    = {2022},
  pages   = {12},
  doi     = {10.28919/cpr-pajm/1-12}
}