Monoid Valuations and Value Ordered Supervaluations

Zur Izhakian; Manfred Knebusch; Louis Rowen

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arXiv · 1104.2753

Monoid Valuations and Value Ordered Supervaluations

Zur Izhakian·Manfred Knebusch·Louis Rowen

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Abstract

We complement two papers on supertropical valuation theory ([IKR1],[IKR2]) by providing natural examples of m-valuations (= monoid valuations), after that of supervaluations and transmissions between them. The supervaluations discussed have values in totally ordered supertropical semirings, and the transmissions discussed respect the orderings. Basics of a theory of such semirings and transmissions are developed as far as needed.

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Zur Izhakian, Manfred Knebusch, Louis Rowen. 2011-04-14. Monoid Valuations and Value Ordered Supervaluations. https://arxiv.org/abs/1104.2753

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