Subordinate quadratic forms and isometric maps over semirings

Zur Izhakian; Manfred Knebusch

doi:10.1142/S0219498823501736

Subordinate quadratic forms and isometric maps over semirings

Zur Izhakian, Manfred Knebusch

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Article number	2350173
Journal	Journal of Algebra and its Applications
Volume	22
Issue number	8
DOIs	https://doi.org/10.1142/S0219498823501736
State	Published - 1 Aug 2023

Keywords

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

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10.1142/S0219498823501736

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Subordinate quadratic forms and isometric maps over semirings

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Keywords

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