TY - JOUR ID - 19923 TI - Max-Plus algebra on tensors and its properties JO - Wavelet and Linear Algebra JA - WALA LA - en SN - 2383-1936 AU - Afshin, Hamid Reza AU - Shojaeifard, Ali Reza AD - Department of Mathematics, Vali-e-Asr University, Rafsanjan, Islamic Republic of Iran AD - Department of Mathematics, Faculty of Sciences, Imam Hossein Comprehensive University, Tehran, Islamic Republic of Iran Y1 - 2016 PY - 2016 VL - 3 IS - 1 SP - 1 EP - 11 KW - Max plus algebra KW - Tensor DO - N2 - 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. UR - https://wala.vru.ac.ir/article_19923.html L1 - https://wala.vru.ac.ir/article_19923_88ef62feab4333580c4d29bc8a94d75f.pdf ER -