A combinatorial PROP for bialgebras

IF 1 3区数学 Q1 MATHEMATICS

European Journal of Combinatorics Pub Date : 2024-11-05 DOI:10.1016/j.ejc.2024.104086

Jorge Becerra

引用次数: 0

Abstract

It is a classical result that the category of finitely-generated free monoids serves as a PROP for commutative bialgebras. Attaching permutations to fix the order of multiplication, we construct an extension of this category that is equivalent to the PROP for bialgebras.

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双桥的组合 PROP

有限生成的自由单元范畴是交换双桥的 PROP，这是一个经典结果。通过附加排列来固定相乘的顺序，我们构建了这个范畴的一个扩展，它等同于双桥的 PROP。

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

European Journal of Combinatorics 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. The journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics and the theories of computing. The journal includes full-length research papers on important topics.