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- W1968893992 abstract "Abstract The Boolean ring B { M } universal over a meet semilattice M is examined. It is the vector space over the two element field Z 2 with base M {0}. The Z 2 linear independence of a meet subsemilattice of a Boolean ring is characterized in order theoretic terms and some ramifications of this on B[M] are considered. The space (ℱ p M ) of proper filters of M is shown homeomorphic to the Stone space S(B[M]) of B[M] if M has no least element, with ℱ P (M) ∪ {M} and S(B[M]) homeomorphic otherwise. The congruence lattice θ( M ) of M is compared to the ideal lattice ℱ( B [M] ) of B [M] with best results coming if M is a tree with zero when θ ( M ) = ℐ ( B [M] )." @default.
- W1968893992 created "2016-06-24" @default.
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- W1968893992 date "1977-06-01" @default.
- W1968893992 modified "2023-09-27" @default.
- W1968893992 title "The Boolean ring universal over a meet semilattice" @default.
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- W1968893992 doi "https://doi.org/10.1017/s1446788700019558" @default.
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