伪分配律的表示

IF 0.6 4区数学 Q3 MATHEMATICS

Applied Categorical Structures Pub Date : 2025-01-03 DOI:10.1007/s10485-024-09798-5

Charles Walker

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引用次数: 0

摘要

通过考虑所涉及的伪单以无迭代形式表示的情况，我们推导出了一些伪分配律的可选表示形式，包括“十角形”形式、伪代数形式、无迭代形式和翘曲形式。作为一个应用，我们证明了五个相干公理足以满足赝分配律的一般单轴定义。

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Presentations of Pseudodistributive Laws

By considering the situation in which the involved pseudomonads are presented in no-iteration form, we deduce a number of alternative presentations of pseudodistributive laws including a “decagon” form, a pseudoalgebra form, a no-iteration form, and a warping form. As an application, we show that five coherence axioms suffice in the usual monoidal definition of a pseudodistributive law.

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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.