内纠缠g代数的Brauer商

IF 0.5 2区数学 Q3 MATHEMATICS

International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI:10.12988/IJA.2021.91277

Amani M. Alfadhli, A. Alghamdi

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引用次数: 0

摘要

在本文中，我们给出了在纠缠g代数集合中的Brauer态射的概念，并给出了这个构造的一个例子。我们研究了相对迹映射与Brauer态射之间的关系。利用相对迹映射和Brauer态射，引入了原始幂等矩阵的缺陷群的概念。研究了内纠缠g -代数的对象，并定义了内纠缠g -代数的同态。数学学科分类:小学20N02，中学20B25

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Brauer quotient of interior quandle G-algebra

In this paper, we present the concept of Brauer morphism in the quandle G-algebra setting together with an illustration example of this construction. We study the relationship between the relative trace map and the Brauer morphism. We introduce the concept of the defect group of a primitive idempotent by using the relative trace map and the Brauer morphism. The object of an interior quandle G-algebra is studied, as well as, we define the homomorphism of interior quandle G-algebras. Mathematics Subject Classification: Primary 20N02, Secondary 20B25

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来源期刊

International Journal of Algebra and Computation 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.