Last Updated
：2025/11/30
quantale
Noun
Japanese Meaning
部分順序付き代数的構造の一種。局所性を用いない位相空間の概念（locale）や、環論・関数解析における乗法的イデアル格子などを一般化した構造として捉えられる。
（ plural ）
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(mathematics) A kind of partially ordered algebraic structure that generalizes locales (point free topologies) as well as various multiplicative lattices of ideals from ring theory and functional analysis.
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quantale
Researchers studying noncommutative topology often examine a quantale to model the lattice of open sets in point-free spaces and the multiplicative behavior of ideals.
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Researchers studying noncommutative topology often examine a quantale to model the lattice of open sets in point-free spaces and the multiplicative behavior of ideals.
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