Work

Four New Concepts of IUP-Ideals: Transmitted, Reflected, Resonant, and Dominant IUP-Ideals

Year: 2026

Type: article

Abstract: In this paper, we introduce four new types of IUP-ideals-transmitted, reflected, resonant, and dominant-that enrich the structural framework of IUP-algebras.We provide formal definitions for each class and investigate their fundamental properties and mutual relationships.Furthermore, we examine their behavior under IUP-homomorphisms and establish necessary and sufficient conditions for a subset to belong to each type.Our main results include a complete characterization of transmitted and reflected IUP-ideals, proofs of equivalence conditions between resonant and dominant ideals under specific algebraic constraints, and the identification of closure properties preserved under homomorphic images.These findings deepen the ideal theory of IUP-algebras and offer new directions for algebraic reasoning in logic-based systems.

Source: Asia Pacific Journal of Mathematics

DOI: 10.28924/apjm/13-21

Authors: Kannirun Suayngam, Warud Nakkhasen, Pongpun Julatha, Rukchart Prasertpong, Aiyared Iampan

Institutions: University of Phayao, Mahasarakham University, Pibulsongkram Rajabhat University, Nakhon Sawan Rajabhat University

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: University of Phayao, Thailand Science Research and Innovation

OpenAlex ID: W7130516168

FWCI: 2.401

Cites: 7

Cited by: 1

Related to: 10