The characterization of operators preserving primitivity for matrix k-tuples |
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| Authors: | LeRoy B Beasley Alexander E Guterman |
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| Institution: | a Department of Mathematics and Statistics, Utah State University, Logan, UT 84322-4125, USA
b Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow 119991, GSP-1, Russia |
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| Abstract: | We obtain a complete characterization of surjective additive operators acting on the Cartesian product of several matrix spaces over an antinegative semiring without zero divisors, which map primitive matrix k-tuples to primitive matrix k-tuples. |
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| Keywords: | 15A45 15A33 15A03 |
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