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Minimal orderings and quadratic forms on a free module over a supertropical semiring

Izhakian, Zur ; Knebusch, Manfred ; Rowen, Louis



Abstract

This paper is a sequel to [6], in which we introduced quadratic forms on a module over a supertropical semiring R and analyzed the set of bilinear companions of a single quadratic form V -> R in case the module V is free. Any (semi)module over a semiring gives rise to what we call its minimal ordering, which is a partial order iff the semiring is "upper bound." Any polynomial map q (or quadratic ...

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