Izhakian, Zur and Knebusch, Manfred and Rowen, Louis (2015) MONOID VALUATIONS AND VALUE ORDERED SUPERVALUATIONS. COMMUNICATIONS IN ALGEBRA, 43 (8). pp. 3207-3248. ISSN 0092-7872, 1532-4125
Full text not available from this repository. (Request a copy)Abstract
We complement two papers on supertropical valuation theory ([11], [12]) by providing natural examples of m-valuations (= monoid valuations), and afterwards of supervaluations and transmissions between them. These supervaluations have values in totally ordered supertropical semirings, and the transmissions discussed respect the orderings. We develop the basics of the theory of such semirings and transmissions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SUPERTROPICAL MATRIX ALGEBRA; COMMUTATIVE RING; CMC SUBSETS; Bipotent semirings; Lattices; Monoid valuations; Ordered supertropical semirings; Supertropical algebra; Supervaluations; Transmissive, and homomorphic equivalence relations; Valuation theory |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Manfred Knebusch |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 Jul 2019 08:23 |
| Last Modified: | 31 Jul 2019 08:23 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6239 |
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