Abstract
We study quadratic forms on free modules with uniquebase, the situation that arises in tropical algebra, and prove the analogof Witt’s Cancelation Theorem. Also, the tensor product of anindecomposable bilinear module (U, γ) with an indecomposable quadraticmodule (V, q) is indecomposable, with the exception of one case,where two indecomposable components arise.
Original language | English |
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Pages (from-to) | 773-808 |
Number of pages | 36 |
Journal | Documenta Mathematica |
Volume | 21 |
Publication status | Published - 31 Dec 2016 |
Keywords
- Semirings
- (semi)modules
- bilinear forms
- quadratic forms
- symmetric forms
- orthogonal decomposition