组合单子图解法

IF 0.6 4区数学 Q3 MATHEMATICS

Applied Categorical Structures Pub Date : 2024-08-29 DOI:10.1007/s10485-024-09778-9

Sebastian Halbig, Tony Zorman

引用次数: 0

摘要

我们将威勒顿[24]的双单子图形微积分扩展到了组合单子，即单子范畴上的模块范畴的单子解释。作为应用，我们证明了这些结构的坦纳卡-克莱因对偶性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Diagrammatics for Comodule Monads

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Diagrammatics for Comodule Monads

We extend Willerton’s [24] graphical calculus for bimonads to comodule monads, a monadic interpretation of module categories over a monoidal category. As an application, we prove a version of Tannaka–Krein duality for these structures.

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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.