Izhakian, Zur and Knebusch, Manfred and Rowen, Louis (2015) CATEGORIES OF LAYERED SEMIRINGS. COMMUNICATIONS IN ALGEBRA, 43 (5). pp. 1807-1836. ISSN 0092-7872, 1532-4125
Full text not available from this repository. (Request a copy)Abstract
We generalize the constructions of layered domains(dagger) to layered semirings, in order to enrich the structure, and in particular to provide finite examples for applications in arithmetic. The layered category theory is extended accordingly, to cover noncancellative monoids, which are examined in their own right.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COMMUTATIVE RING; MATRIX ALGEBRA; Tropical algebra; Tropical categories; Tropical geometry; Tropicalization; Valuations; Valued monoids; Primary 06F05; 06F20; 14T05; 14T99; 16Y60; Secondary 06F25; 12K10 |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Manfred Knebusch |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Aug 2019 11:44 |
| Last Modified: | 01 Aug 2019 11:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6281 |
Actions (login required)
 |
View Item |
