A Note on Hopfian and Co-Hopfian S-Acts

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-12-05 DOI:10.1007/s40995-024-01753-2

Mohammad Roueentan, Roghaieh Khosravi

引用次数: 0

Abstract

The main purpose of this work is to investigate of the notions Hopfian (co-Hopfian) acts in which their surjective (injective) endomorphisms are isomorphisms. While we study conditions that are relevant to these classes of acts, their interrelationship with some other concepts for example quasi-injective and Dedekind-finite acts is studied. Using Hopfian and co-Hopfian concepts, we provide several conditions for a quasi-injective act to be Dedekind-finite.

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关于Hopfian和Co-Hopfian S-Acts的注解

本研究的主要目的是探讨Hopfian（共Hopfian）行为中满射（单射）自同构的概念。当我们研究与这类行为相关的条件时，我们研究了它们与其他一些概念的相互关系，例如拟内射和dedekind有限行为。利用Hopfian和co-Hopfian概念，给出了拟内射行为是dedekind有限的几个条件。

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

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences