Geodesic
Distributivity conditions for the congruence's lattice of semirings of continuous functions
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 128-134

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Congruence lattices of semirings of continuous functions on any topological space are researched. Criteria of the distributivity of a lattice of congruences of semirings of continuous non-negative functions have been obtained.
Keywords: semiring and semifield of continuous functions, lattice of congruences, F-space. 
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     author = {D. V. Chuprakov},
     title = {Distributivity conditions for the congruence's lattice of semirings of continuous functions},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {128--134},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2009_3_a10/}
}
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D. V. Chuprakov. Distributivity conditions for the congruence's lattice of semirings of continuous functions. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 128-134. http://geodesic.mathdoc.fr/item/VUU_2009_3_a10/