Subordinate quadratic forms and isometric maps over semirings

Zur Izhakian, Manfred Knebusch

Research output: Contribution to journalArticlepeer-review


This paper expands the theory of quadratic forms on modules over a semiring R, introduced in [11-13], especially in the setup of tropical and supertropical algebra. Isometric linear maps induce subordination on quadratic forms, and provide a main tool in our current study. These maps allow lifts and pushdowns of quadratic forms on different modules, preserving basic characteristic properties.

Original languageEnglish
Article number2350173
JournalJournal of Algebra and its Applications
Issue number8
StatePublished - 1 Aug 2023


  • Tropical algebra
  • bilinear forms
  • isometric maps
  • quadratic forms
  • quadratic pairs
  • scalar extension
  • subordinated quadratic forms
  • supertropical modules


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