Monoid Valuations and Value Ordered Supervaluations

Zur Izhakian, Manfred Knebusch, Louis Rowen

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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
Issue number8
StatePublished - 3 Aug 2015
Externally publishedYes


  • Bipotent semirings
  • Lattices
  • Monoid valuations
  • Ordered supertropical semirings
  • Supertropical algebra
  • Supervaluations
  • Transmissive
  • Valuation theory
  • and homomorphic equivalence relations


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