Supertropical linear algebra

@article{Izhakian2010SupertropicalLA,
title={Supertropical linear algebra},
author={Zur Izhakian and Manfred Knebusch and Louis H. Rowen},
journal={arXiv: Commutative Algebra},
year={2010}
}
• Published 30 July 2010
• Mathematics
• arXiv: Commutative Algebra
The objective of this paper is to lay out the algebraic theory of supertropical vector spaces and linear algebra, utilizing the key antisymmetric relation of ghost surpasses.''Special attention is paid to the various notions of base,'' which include d-base and s-base, and these are compared to other treatments in the tropical theory. Whereas the number of elements in a d-base may vary according to the d-base, it is shown that when an s-base exists, it is unique up to permutation and…
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