@inproceedings{8b1a83941d654756b3bae57fb4d0cf9c,

title = "A guide to supertropical algebra",

abstract = "This paper describes a new algebraic structure to enrich the algebraic theory underlying {"}tropical geometry,{"} an area of mathematics that has developed considerably over the last ten years, with applications to combinatorics, polynomials (Newton's polytope), linear algebra, and algebraic geometry.",

keywords = "Characteristic polynomial, Determinant, Eigenvalue, Eigenvector, Hamilton-Cayley theorem, Matrix algebra, Polynomial algebra, Resultant, Semiring theory, Supertropical structures, Vandermonde matrix",

author = "Zur Izhakian and Louis Rowen",

note = "Publisher Copyright: {\textcopyright} 2010 Birkh{\"a}user Verlag Basel/Switzerland.; International Conference on Algebra and its Applications, 2008 ; Conference date: 18-06-2008 Through 21-06-2008",

year = "2010",

doi = "10.1007/978-3-0346-0286-0_19",

language = "אנגלית",

isbn = "9783034602853",

series = "Trends in Mathematics",

pages = "283--302",

editor = "{Van Huynh}, Dinh and L{\'o}pez-Permouth, {Sergio R.}",

booktitle = "Advances in Ring Theory",

}