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Supertropical monoids: Basics and canonical factorization

Izhakian, Zur ; Knebusch, Manfred ; Rowen, Louis



Zusammenfassung

A supertropical monoid is a monoid U together with a projection onto a totally ordered submonoid eU (where e is an element of U is idempotent). Supertropical monoids are slightly more general than the supertropical semirings that were introduced and used by the first and the third authors for refinements of tropical geometry and matrix theory, and then studied systematically by the authors in ...

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