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On prime matrices over distributive lattices

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Abstract

Characteristics for lattice matrices to be prime and existence criteria for prime matrices over distributive lattices are obtained.

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Correspondence to V. E. Marenich.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 7, pp. 157–173, 2008.

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Marenich, V.E. On prime matrices over distributive lattices. J Math Sci 164, 260–271 (2010). https://doi.org/10.1007/s10958-009-9727-1

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