Monoid Valuations and Value Ordered Supervaluations
Commutative Algebra
2011-04-15 v1 Algebraic Geometry
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1104.2753,
title = {Monoid Valuations and Value Ordered Supervaluations},
author = {Zur Izhakian and Manfred Knebusch and Louis Rowen},
journal= {arXiv preprint arXiv:1104.2753},
year = {2011}
}
Comments
34 pages