The double almost-Riordan group

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2024-10-31 DOI:10.1016/j.laa.2024.10.027

Tian-Xiao He

引用次数: 0

Abstract

In this paper, we define double almost-Riordan arrays and find that the set of all double almost-Riordan arrays forms a group, called the double almost-Riordan group. We also obtain the sequence characteristics of double almost-Riordan arrays and give the production matrices of two types for double almost-Riordan arrays. In addition, we discuss the algebraic properties of the double almost-Riordan group, and finally give the compression of double almost-Riordan arrays and their sequence characteristics.

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双几乎-瑞尔丹群

本文定义了双几乎-瑞尔丹数组，并发现所有双几乎-瑞尔丹数组的集合构成一个群，称为双几乎-瑞尔丹群。我们还得到了双几乎-赖尔登数组的序列特征，并给出了双几乎-赖尔登数组的两种类型的生产矩阵。此外，我们还讨论了双几乎-赖尔登群的代数性质，最后给出了双几乎-赖尔登数组的压缩及其序列特征。

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

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.