Subordinate quadratic forms and isometric maps over semirings
Rings and Algebras
2022-04-08 v1 Commutative Algebra
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.
Cite
@article{arxiv.2204.03391,
title = {Subordinate quadratic forms and isometric maps over semirings},
author = {Zur Izhakian and Manfred Knebusch},
journal= {arXiv preprint arXiv:2204.03391},
year = {2022}
}
Comments
30 pages