Manfred Knebusch

activity

20092026

most citedCategorical notions of layered tropical algebra and geometry

7 citations · 20 across the 15 of their papers we have counts for

collaborators

Showing 2013Show all

2 papers · 1 filter

math.RA2013

Supertropical Quadratic Forms I

Zur Izhakian, Manfred Knebusch, Louis Rowen

We initiate the theory of a quadratic form $q$ over a semiring $R$ . As customary, one can write $q (x + y) = q (x) + q (y) + b (x, y),$ where $b$ is a companion bilinear form. But in con…

math.RA2013

Algebraic structures of tropical mathematics

Zur Izhakian, Manfred Knebusch, Louis Rowen

Tropical mathematics often is defined over an ordered cancellative monoid $\tM$, usually taken to be $(\RR, +)$ or $(\QQ, +)$. Although a rich theory has arisen from this viewpoint…