分配式 Posets 的石头二重性

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2024-09-30 DOI:10.1007/s10469-024-09756-z

M. V. Schwidefsky

引用次数: 0

摘要

本文为本文定义的分布式 c-集合范畴及其一些重要的全子类建立了拓扑对偶性结果。提出的所有对偶性结果都扩展了斯通（M. H. Stone）针对可分配 (0, 1) 格范畴得到的著名拓扑对偶性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stone Dualities for Distributive Posets

A topological duality result is established for the category of distributive c-posets defined in this paper, as well as for some of its important full subcategories. All duality results presented extend the well-known topological duality result obtained by M. H. Stone for the category of distributive (0, 1)-lattices.

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来源期刊

Algebra and Logic 数学-数学

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. All articles are peer-reviewed.