An informal overview of triples and systems

Louis Rowen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations

Abstract

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

Original languageEnglish
Title of host publicationRings, Modules and Codes
EditorsAndré Leroy, Christian Lomp, Sergio López-Permouth, Frédérique Oggier
PublisherAmerican Mathematical Society
Pages317-335
Number of pages19
ISBN (Print)9781470441043
DOIs
StatePublished - 2019
Event5th International Conference on Noncommutative Rings and their Applications, 2017 - Arras, France
Duration: 12 Jun 201715 Jun 2017

Publication series

NameContemporary Mathematics
Volume727
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

Conference5th International Conference on Noncommutative Rings and their Applications, 2017
Country/TerritoryFrance
CityArras
Period12/06/1715/06/17

Bibliographical note

Publisher Copyright:
© 2019 American Mathematical Society.

Keywords

  • Bipotent
  • Category
  • Congruence
  • Dual basis
  • Homology
  • Hyperfield
  • Linear algebra
  • Matrix
  • Meta-tangible
  • Module
  • Morphism
  • Negation map
  • Polynomial
  • Prime
  • Projective
  • Semifield
  • Semigroup
  • Semiring
  • Split
  • Superalgebra
  • Supertropical algebra
  • Surpassing relation
  • Symmetrization
  • System
  • Tensor product
  • Triple
  • Tropical

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