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Quotient quasi-ordered residuated systems induced by quasi-valuation maps

International Mathematical Virtual Institute, 6, Kordunaska Street, 78000 Banja Luka, Bosnia and Herzegovina.

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Annals of Communications in Mathematics 2023
, 6 (3),
199-208.
https://doi.org/10.62072/acm.2023.060305
Received: 04 September 2023 |
Accepted: 22 October 2023 |
Published: 31 October 2023

Abstract
The concept of quasi-ordered residuated systems was introduced in 2018 by Bonzio and Chajda as a generalization both of commutative residuated lattices and hoopalgebras. Then this author investigated the substructures of ideals and filters in these algebraic structures. As a continuation of these research, in this article we design the concept of quotient quasi-ordered residuated systems induced by a quasi-valuation on it. Additionally, we prove some important properties of the thus constructed quotient structure.

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Cite This Article

Daniel A. Romano.
Quotient quasi-ordered residuated systems induced by quasi-valuation maps.

Annals of Communications in Mathematics,

2023,
6 (3):
199-208.
https://doi.org/10.62072/acm.2023.060305
References

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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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