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math.RA2022
Stratifications of the ray space of a tropical quadratic form by Cauchy-Schwartz functions
Zur Izhakian, Manfred Knebusch
Classes of an equivalence relation on a module V over a supertropical semiring, called rays, carry the underlaying structure of "supertropical trigonometry" and thereby a version o…
math.RA2022
Subordinate quadratic forms and isometric maps over semirings
Zur Izhakian, Manfred Knebusch
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 line…