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
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
| Original language | English |
|---|---|
| Pages (from-to) | 3207-3248 |
| Number of pages | 42 |
| Journal | Communications in Algebra |
| Volume | 43 |
| Issue number | 8 |
| Early online date | 4 Jun 2015 |
| DOIs | |
| Publication status | Published - 2015 |
Keywords
- bipotent semirings
- lattices
- monoid valuations
- ordered supertropical semirings
- supertropical algebra
- supervaluations
- transmissive, and homomorphic equivalence relations
- valuation theory