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arXiv · 2204.03391

Subordinate quadratic forms and isometric maps over semirings

Zur Izhakian·Manfred Knebusch
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Abstract

The paper expands the theory of quadratic forms on modules over a semiring R, introduced in [12]-[14], 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.

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Zur Izhakian, Manfred Knebusch. 2022-04-07. Subordinate quadratic forms and isometric maps over semirings. https://arxiv.org/abs/2204.03391

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