Where does “semilattice” come from?
semilattice (English) comes from English lattice, from Middle English latis, from Middle French lattis, from Old French lattis, from Old French latte, from Frankish *lattu, from Proto-Germanic laþô, from Proto-Indo-European (s)lat- — beam; log.
semilattice (English): A partially ordered set that either has a join (a least upper bound) for any nonempty finite subset (a join-semilattice or upper semilattice) or has a meet (or greatest lower bound) for any nonempty finite subset (a meet-semilattice or lower semilattice). Equivalently, an underlying set which has a
Definitions
- A partially ordered set that either has a join (a least upper bound) for any nonempty finite subset (a join-semilattice or upper semilattice) or has a meet (or greatest lower bound) for any nonempty finite subset (a meet-semilattice or lower semilattice). Equivalently, an underlying set which has a
Ancestry of “semilattice”, step by step
semilattice traces back through two separate lines of ancestry.