Operad Structures on the Species Composition of Two Operads

IF 0.6 4区数学 Q3 MATHEMATICS

Applied Categorical Structures Pub Date : 2024-11-22 DOI:10.1007/s10485-024-09793-w

Imen Rjaiba

引用次数: 0

Abstract

We give an explicit description of two operad structures on the species composition \(\textbf{p}\circ \textbf{q}\), where \(\textbf{q}\) is any given positive operad, and where \(\textbf{p}\) is the \({\text{ NAP } }\) operad, or a shuffle version of the magmatic operad \({\text{ Mag } }\). No distributive law between \(\textbf{p}\) and \(\textbf{q}\) is assumed.

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两个 Operad 的物种组成上的 Operad 结构

我们给出了关于物种组成 \(\textbf{p}\circ \textbf{q}\) 的两种操作数结构的明确描述，其中 \(\textbf{q}\) 是任意给定的正操作数，而 \(\textbf{p}\) 是 \({\text{ NAP }\) 操作数，或者是岩浆操作数 \({\text{ Mag }\) 的洗牌版本。）在\({textbf{p}\)和\(\textbf{q}\)之间没有分配律。

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.