Geodesic
Distributive Lattices of Jacobson Rings
Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 87 .

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We characterize the distributive lattices of Jacobson rings and prove that if a semiring is a distributive lattice of Jacobson rings, then, up to isomorphism, it is equal to the subdirect product of a distributive lattice and a Jacobson ring. Also, we give a general method to construct distributive lattices of Jacobson rings.
DOI : 10.2298/PIM1614087S
Classification : 16Y60, 08B05 20M07
Keywords: semiring, distributive lattice, Jacobson ring, Mal'cev product, congruence 
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     title = {Distributive {Lattices} of {Jacobson} {Rings}},
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Yong Shao; Siniša Crvenković; Melanija Mitrović. Distributive Lattices of Jacobson Rings. Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 87 . doi : 10.2298/PIM1614087S. http://geodesic.mathdoc.fr/articles/10.2298/PIM1614087S/

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