Monoid valuations and value ordered supervaluations

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Date
2011MFO Scientific Program
OWLF 2011Series
Oberwolfach Preprints;2011,17Author
Izhakian, Zur
Knebusch, Manfred
Rowen, Louis
Metadata
Show full item recordOWP-2011-17
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.