Nonnegative matrix semigroups with finite diagonals |
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| Authors: | Alexey I Popov Heydar Radjavi |
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| Institution: | a Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada T6G 2G1
b Department of Pure Mathematics, University of Waterloo, Waterloo, ON, Canada N2L 3G1 |
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| Abstract: | Let S be a multiplicative semigroup of matrices with nonnegative entries. Assume that the diagonal entries of the members of S form a finite set. This paper is concerned with the following question: Under what circumstances can we deduce that S itself is finite? |
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| Keywords: | 15A48 20M20 |
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