Monoid valuations and value ordered supervaluations

Zur Izhakian, Manfred Knebusch, Louis Rowen

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We complement two papers on supertropical valuation theory ([11], [12]) by
providing natural examples of m-valuations (= monoid valuations), and afterwards
of supervaluations and transmissions between them. These supervaluations have values in totally ordered supertropical semirings, and the transmissions discussed respect the orderings. We develop the basics of the theory of such semirings and transmissions
Original languageEnglish
Pages (from-to)3207-3248
Number of pages42
JournalCommunications in Algebra
Volume43
Issue number8
Early online date4 Jun 2015
DOIs
Publication statusPublished - 2015

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Keywords

  • bipotent semirings
  • lattices
  • monoid valuations
  • ordered supertropical semirings
  • supertropical algebra
  • supervaluations
  • transmissive, and homomorphic equivalence relations
  • valuation theory

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