Advances and Applications in Discrete Mathematics
Volume 25, Issue 1, Pages 23 - 39
(September 2020) http://dx.doi.org/10.17654/DM025010023 |
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JOIN SEMICONTINUOUS LATTICES AND JOIN SEMICONTINUOUS FUNCTIONS
Guanghao Jiang and Bailing An
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Abstract: In this paper, a new concept of join semicontinuous lattice is introduced and examined. An intrinsic characterization of join semicontinuous lattices is obtained. In addition, functions between join semicontinuous lattices which are order preserving and join semicontinuous are studied. |
Keywords and phrases: semiprime filter, join semicontinuous lattice, join semicontinuous function, join semialgebraic lattice.
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