Quotient GE-algebras induced by F-pseudo-valuations
Abstract
This paper explores the construction of quotient GE-algebras induced by F-pseudo-valuations.We introduce a congruence relation defined by an F-pseudo-valuation and utilize it to construct the quotient GE-algebra.Key properties of this quotient structure, including its operations, identity elements, and adherence to GE-algebra axioms, are thoroughly examined.We establish several theorems that elucidate the interplay between the original GE-algebra and its quotient, focusing on the behavior of GE-filters and the properties of the canonical homomorphism.These findings enhance the understanding of how algebraic properties are preserved or transformed under quotienting in the context of GE-algebras.
Fields of Study & Subjects
Advanced Topology and Set Theory
Advanced Algebra and Logic
Fuzzy and Soft Set Theory
Publication details
- Journal / source
- Discussiones Mathematicae - General Algebra and Applications
- Volume
- 46
- Issue
- 1
- Pages
- 251–251
- Publication date
- 1 January 2026
- Language
- EN