McKinsey-Tarski Algebras and Raney Extensions

IF 0.6 4区数学 Q3 MATHEMATICS

Applied Categorical Structures Pub Date : 2026-03-04 DOI:10.1007/s10485-026-09849-z

G. Bezhanishvili, R. Raviprakash, A. L. Suarez, J. Walters-Wayland

引用次数: 0

Abstract

We introduce the notion of Raney morphism between MT-algebras and show that the resulting category is equivalent to the category of Raney extensions. This is done by generalizing the construction of the Funayama envelope of a frame. The resulting notion of the \(T_0\)-hull of a Raney extension generalizes that of the \(T_D\)-hull of a frame.

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McKinsey-Tarski代数与Raney扩展

我们在mt -代数之间引入了Raney态射的概念，并证明了所得到的范畴等价于Raney扩展范畴。这是通过推广框架的船山包络结构来实现的。由此产生的Raney扩展的\(T_0\) -壳体的概念推广了框架的\(T_D\) -壳体的概念。

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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来源期刊

Applied Categorical Structures 数学-数学

CiteScore

1.30

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Applied Categorical Structures focuses on applications of results, techniques and ideas from category theory to mathematics, physics and computer science. These include the study of topological and algebraic categories, representation theory, algebraic geometry, homological and homotopical algebra, derived and triangulated categories, categorification of (geometric) invariants, categorical investigations in mathematical physics, higher category theory and applications, categorical investigations in functional analysis, in continuous order theory and in theoretical computer science. In addition, the journal also follows the development of emerging fields in which the application of categorical methods proves to be relevant. Applied Categorical Structures publishes both carefully refereed research papers and survey papers. It promotes communication and increases the dissemination of new results and ideas among mathematicians and computer scientists who use categorical methods in their research.