A Note on Hopfian and Co-Hopfian S-Acts

被引：0
|
作者：
Roueentan, Mohammad [1 ]
Khosravi, Roghaieh [2 ]
机构：
[1] Shiraz Univ Technol, Coll Engn, Lamerd Higher Educ Ctr, Lamerd, Iran
[2] Fasa Univ, Fac Sci, Dept Math, Fasa, Iran
来源：
IRANIAN JOURNAL OF SCIENCE | 2024年
关键词：
<italic>S</italic>-act; Monoid; Hopfian; Co-Hopfian; MODULES;
D O I：
10.1007/s40995-024-01753-2
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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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页数：6
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