Autor:	Blachar, Guy, Sheiner, Erez
Rok vydání:	2017
Předmět:	Mathematics - Rings and Algebras Mathematics - Commutative Algebra Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	This paper is a continuation of [arXiv:1603.02204]. Exploded layered tropical (ELT) algebra is an extension of tropical algebra with a structure of layers. These layers allow us to use classical algebraic results in order to easily prove analogous tropical results. Specifically we prove and use an ELT version of the transfer principal presented in [2]. In this paper we use the transfer principle to prove an ELT version of Cayley-Hamilton Theorem, and study the multiplicity of the ELT determinant, ELT adjoint matrices and quasi-invertible matrices. We also define a new notion of trace -- the essential trace -- and study its properties. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1705.00266 Zobrazit plný text záznamu View this record from Arxiv