Bin Zhao
Abstract
In this paper, some basic properties of quantale are discussed. Two sufficent and necessary conditions that prequantale turn into quantale are obtained. The uniqueness of order-reverse involution on strictly two-sided quantale is proved and the condition that quantale turn into distributive lattice is given.
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In this paper, some basic properties of quantale are discussed. Two sufficent and necessary conditions that prequantale turn into quantale are obtained. The uniqueness of order-reverse involution on strictly two-sided quantale is proved and the condition that quantale turn into distributive lattice is given.
Key concepts: Mathematics, Uniqueness, Distributive property, Pure mathematics, Involution (esoterism), Lattice (music), Algebra over a field, Mathematical analysis