TL;DR
This paper provides an informal overview of triples and systems, presenting an axiomatic algebraic framework that unifies classical algebra, tropical algebra, hyperfields, and fuzzy rings.
Contribution
It introduces a unifying axiomatic algebraic theory for diverse algebraic structures including triples and systems.
Findings
Unified algebraic framework for multiple algebraic systems
Axiomatic foundations applicable to classical and tropical algebra
Enhanced understanding of hyperfields and fuzzy rings
Abstract
We describe triples and systems, expounded as an axiomatic algebraic umbrella theory for classical algebra, tropical algebra, hyperfields, and fuzzy rings.
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