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In this paper, we define the minimum (maximum) rank, term rank and the signnonsingular of tensors. The sufficiency and necessity for the minimum rank of areal tensor to be $1$ is given. And we show that the maximum rank of a tensoris not less than the term rank. We also prove that the minimum rank of a signnonsingular tensor is not less than the dimension of it. And we get somecharacterizations of a tensor having sign left or sign right inverses.

Minimum (maximum) rank of tensors and the sign nonsingular tensors