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- W2076524682 abstract "Ever since David Ellis has shown that a Boolean algebra has a natural structure of an autometrized space, the interest in such spaces has led several authors to study various autometrized algebras like Brouwerian algebras [9], Newman algebras [4], Lattice ordered groups [6], Dually residuated lattice ordered semigroups [7] etc. However all these spaces are lattices (with the exception of Newman algebra which is not even a partially ordered set); and a natural question would be whether there are semilattices with a natural structure of an autometrized space. In the present paper we observe that the dual of an implicative semilattice [8] is a generalization of Brouwerian algebra and it has a natural structure of an autometrized space." @default.
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- W2076524682 date "1974-11-01" @default.
- W2076524682 modified "2023-09-25" @default.
- W2076524682 title "Semi-Brouwerian algebras" @default.
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- W2076524682 doi "https://doi.org/10.1017/s1446788700022874" @default.
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