Hidden matrix semirings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 13-19

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Criteria analogous to Robson's and Fuchs' are given for a semiring to be izomorphic to a full matrix semiring. The necessity of additional conditions (compared with the case of rings) is investigated.
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     title = {Hidden matrix semirings},
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I. I. Bogdanov. Hidden matrix semirings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 13-19. http://geodesic.mathdoc.fr/item/FPM_2003_9_3_a1/