Reducing the axioms of hypergroups, hyperfields, hypermomules and related structures. A new axiomatic basis for hypercompositional structures
Abstract
This paper is concerned with the axiomatic basis of structures within Hypercompositional Algebra. It is proven that the axioms employed in the definition of numerous hypercompositional structures lack independence. Accordingly, novel definitions are introduced in this work which minimize the established definitions by reducing the necessary set of axioms.
Fields of Study & Subjects
Advanced Algebra and Logic
Rings
Modules
and Algebras
Fuzzy and Soft Set Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 21 January 2026
- Language
- EN
- Document type
- Preprint