JOIN SEMICONTINUOUS LATTICES AND JOIN SEMICONTINUOUS FUNCTIONS
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.
semiprime filter, join semicontinuous lattice, join semicontinuous function, join semialgebraic lattice.