Geodesic
Distributive Lattices of Jacobson Rings
Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 87 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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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     author = {Yong Shao and Sini\v{s}a Crvenkovi\'c and Melanija Mitrovi\'c},
     title = {Distributive {Lattices} of {Jacobson} {Rings}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {87 },
     year = {2016},
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     doi = {10.2298/PIM1614087S},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1614087S/}
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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

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