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on some properties of the max algebra system over tensors
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نویسنده
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shojaeifard ali reza ,afshin hamid reza
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منبع
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sahand communications in mathematical analysis - 2018 - دوره : 12 - شماره : 1 - صفحه:1 -14
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چکیده
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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.
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کلیدواژه
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tensor ,max algebra ,left (right) inverse ,direct product ,eigenvalue
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آدرس
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imam hossein comprehensive university, faculty of basic sciences, department of mathematics and statistics, ایران, vali-e-asr university of rafsanjan, faculty of mathematical sciences, department of mathematics, ایران
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پست الکترونیکی
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afshin@vru.ac.ir
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Authors
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