%0 Journal Article
%T On Some Properties of the Max Algebra System Over Tensors
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Shojaeifard, Ali Reza
%A Afshin, Hamid Reza
%D 2018
%\ 11/01/2018
%V 12
%N 1
%P 1-14
%! On Some Properties of the Max Algebra System Over Tensors
%K Tensor
%K Max algebra
%K Left (right) inverse
%K Direct Product
%K Eigenvalue
%R 10.22130/scma.2018.30023
%X Recently we generalized the max algebra system to the class of nonnegative tensors. In this paper we give some basic properties for the left (right) inverse, under the new system. The existence of order 2 left (right) inverse of tensors is characterized. Also we generalize the direct product of matrices to the direct product of tensors (of the same order, but may be different dimensions) and investigate its properties relevant to the spectral theory.
%U https://scma.maragheh.ac.ir/article_30023_8488dc3d5ca759a228ad5df74c6ba29b.pdf