The Quasivariety $ {\mathbf{S}}{\mathbf{P}}(L_{6}) $ . II: A Duality Result

Pub Date : 2024-05-29 DOI:10.1134/s0037446624030029
A. O. Basheyeva, M. V. Schwidefsky
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Abstract

We prove that the category of the complete bi-algebraic (0, 1)-lattices belonging to the quasivariety generated by a certain finite lattice with complete lattice homomorphisms, considered as a concrete category, is dually equivalent to the category of certain spaces with an additional structure.

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准变量 $ {\mathbf{S}}{\mathbf{P}}(L_{6}) $ . II: 对偶性结果
我们证明,完全双代数(0,1)晶格范畴属于由具有完全晶格同态的某个有限晶格生成的准变量,作为一个具体范畴,它与具有附加结构的某些空间范畴是双重等价的。
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