@article{Article_76,

title = {A Characterization of Commutative Rings in which every Semi Co-Hopfian Module is Artinian},

journal = {Communications in Combinatorics, Cryptography & Computer Science},

volume = {2024},

issue = {1},

issn = { 2783-5456 },

year = {2023},

url = {http://cccs.sgh.ac.ir/Articles/2024/issue 1/1-4-ACharacterizationofCommutativeRings.pdf},

author = {Mankagna Albert Diompy and Remy Diaga Diouf and and Ousseynou Bousso},

keywords = {Semi co-Hopfian, Artinian, Vanaja property, SCHA-ring},

abstract = {Let R be an associative ring with unit 1 ̸= 0, we call an unital left R-module M semi co-Hopfian (resp semi Hopfian ) if any injective (resp. surjective) endomorphism of M has a direct summand image (resp kernel). Starting from that every artinian module is co-Hopfian and so semi co-Hopfian, we showad in this paper that the class of ring on which every semi co-Hopfian module is artinian coincide with the class of artinian principal ideal rings when the v.p is satisfied. Moreover, some properties of this class of rings are given.}

};