Quadratic and symmetric bilinear forms on modules with unique base over a semiring
Louis Rowen
Department of Mathematics Bar-Ilan University Ramat-Gan 52900 IsraelZur Izhakian
Manfred Knebusch

Abstract
We study quadratic forms on free modules with unique base, the situation that arises in tropical algebra, and prove the analog of Witt's Cancelation Theorem. Also, the tensor product of an indecomposable bilinear module with an indecomposable quadratic module is indecomposable, with the exception of one case, where two indecomposable components arise.
Cite this article
Louis Rowen, Zur Izhakian, Manfred Knebusch, Quadratic and symmetric bilinear forms on modules with unique base over a semiring. Doc. Math. 21 (2016), pp. 773–808
DOI 10.4171/DM/545