Izhakian, Zur and Knebusch, Manfred (2023) Subordinate quadratic forms and isometric maps over semirings. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 22 (08): 2350173. ISSN 0219-4988, 1793-6829
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This paper expands the theory of quadratic forms on modules over a semiring R, introduced in [11-13], especially in the setup of tropical and supertropical algebra. Isometric linear maps induce subordination on quadratic forms, and provide a main tool in our current study. These maps allow lifts and pushdowns of quadratic forms on different modules, preserving basic characteristic properties.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Tropical algebra; supertropical modules; bilinear forms; quadratic forms; quadratic pairs; isometric maps; subordinated quadratic forms; scalar extension |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Manfred Knebusch |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 21 Feb 2024 06:34 |
| Last Modified: | 21 Feb 2024 06:34 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57582 |
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