%0 Journal Article %T Max-Plus algebra on tensors and its properties %J Wavelet and Linear Algebra %I Vali-e-Asr university of Rafsanjan %Z 2383-1936 %A Afshin, Hamid Reza %A Shojaeifard, Ali Reza %D 2016 %\ 06/01/2016 %V 3 %N 1 %P 1-11 %! Max-Plus algebra on tensors and its properties %K Max plus algebra %K Tensor %R %X In this paper we generalize the max plus algebra system of real matrices to the class of real tensors and derive its fundamental properties. Also we give some basic properties for the left (right) inverse, under the new system. The existence of order 2 left (right) inverses of tensors is characterized. %U https://wala.vru.ac.ir/article_19923_88ef62feab4333580c4d29bc8a94d75f.pdf