A comic page for the first isomorphism theorem

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Journal of Mathematics and the Arts Pub Date : 2022-04-03 DOI:10.1080/17513472.2022.2059645
Enric Cosme Llópez, Raúl Ruiz Mora, Núria Tamarit
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引用次数: 1

Abstract

Given a homomorphism between algebras, there exists an isomorphism between the quotient of the domain by its kernel and the subalgebra in the codomain given by its image. This theorem, commonly known as the first isomorphism theorem, is a fundamental algebraic result. Different problems have been identified in its instruction, mainly related to the abstraction inherent to its content and to the lack of conceptual models to improve its understanding. In response to this situation, in this paper, we present an illustration that explores the narrative and graphical resources of comics with the aim of describing the set-theoretic elements that are involved in the proof of this theorem. GRAPHICAL ABSTRACT
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第一同构定理的漫画页
给定代数间的同态,则由其核构成的定义域的商与由其像构成的上域中的子代数之间存在同态。这个定理,通常被称为第一同构定理,是一个基本的代数结果。在其教学中发现了不同的问题,主要与其内容固有的抽象和缺乏概念模型来提高其理解有关。针对这种情况,在本文中,我们提出了一个插图,探索漫画的叙事和图形资源,目的是描述在证明这个定理中涉及的集合论元素。图形抽象
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来源期刊
Journal of Mathematics and the Arts
Journal of Mathematics and the Arts MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
0.50
自引率
0.00%
发文量
19
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