Modules over JU-Algebras
Abstract
This study introduces JU-modules, a class of modules over JU-algebras, and develops their fundamental structure.Key results include the adaptation of classical isomorphism theorems to the JU-module setting and the formulation and analysis of exact sequences.The study also establishes the Butterfly Lemma for JU-modules and explores properties of module chains in this context.These results provide a foundation for connecting ideal theory with module theory in bounded implicative JU-algebras.
Fields of Study & Subjects
Advanced Algebra and Logic
Rings
Modules
and Algebras
Fuzzy and Soft Set Theory
Publication details
- Journal / source
- Asia Pacific Journal of Mathematics
- Publisher
- SCIK Publishing Corporation
- Volume
- 13
- Pages
- 5–5
- Publication date
- 1 January 2026