An informal overview of triples and systems

2017/09/10 by Rowen, Louis H.
#03C05 #06F05 #08A05 #12K10 #13C10 #13C60 #14T05 #16Y60 #20N20 #Category Theory (math.CT) #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1709.03174

Abstract

We describe triples and systems, expounded as an axiomatic algebraic umbrella theory for classical algebra, tropical algebra, hyperfields, and fuzzy rings.

Related

• Projective systemic modules
• Pythagorean triples
• Poisson triple systems
• Algebras with a negation map
• Semiring systems arising from hyperrings