The direct sum of q-matroids

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Algebraic Combinatorics Pub Date : 2024-02-17 DOI:10.1007/s10801-023-01283-x

Michela Ceria, Relinde Jurrius

引用次数: 0

Abstract

For classical matroids, the direct sum is one of the most straightforward methods to make a new matroid out of existing ones. This paper defines a direct sum for q-matroids, the q-analogue of matroids. This is a lot less straightforward than in the classical case, as we will try to convince the reader. With the use of submodular functions and the q-analogue of matroid union we come to a definition of the direct sum of q-matroids. As a motivation for this definition, we show it has some desirable properties.

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q 个矩阵的直接和

对于经典矩阵，直接求和是用现有矩阵生成新矩阵的最直接方法之一。本文定义了 q-matroids（matroids 的 q-analogue ）的直接和。正如我们将试图说服读者的那样，这种方法远没有经典方法那么简单。通过使用亚模函数和矩阵联合的 q-analogue ，我们得出了 q 个矩阵的直接和的定义。作为这个定义的动机，我们将证明它具有一些理想的性质。

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

Journal of Algebraic Combinatorics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Algebraic Combinatorics provides a single forum for papers on algebraic combinatorics which, at present, are distributed throughout a number of journals. Within the last decade or so, algebraic combinatorics has evolved into a mature, established and identifiable area of mathematics. Research contributions in the field are increasingly seen to have substantial links with other areas of mathematics. The journal publishes papers in which combinatorics and algebra interact in a significant and interesting fashion. This interaction might occur through the study of combinatorial structures using algebraic methods, or the application of combinatorial methods to algebraic problems.