L-algebras and topology
Keyword(s):
[Formula: see text]-algebras are based on an equation which is fundamental in the construction of various torsion-free groups, including spherical Artin groups, Riesz groups, certain mapping class groups, para-unitary groups, and structure groups of set-theoretic solutions to the Yang–Baxter equation. A topological study of [Formula: see text]-algebras is initiated. A prime spectrum is associated to certain (possibly all) [Formula: see text]-algebras, including three classes of [Formula: see text]-algebras where the ideals are determined in a more explicite fashion. Known results on orthomodular lattices, Heyting algebras, or quantales are extended and revisited from an [Formula: see text]-algebraic perspective.
2016 ◽
Vol 17
(2)
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pp. 277-304
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2000 ◽
Vol 2000
(521)
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pp. 1-24
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2001 ◽
Vol 1
(1)
◽
pp. 73-114
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2008 ◽
Vol 360
(09)
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pp. 4815-4839
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