Contents > Past issues > Volume 6
Characterization of Duo-Rings in which every Generalized Hopfian Module is finitely cogenerated
Sidy Demba Touré, Khady Diop, Galaye Traoré, and Mamadou Sangharé
Département de Mathématiques et Informatique
Faculté des Sciences et Techniques
de l’Université Cheikh Anta Diop de Dakar, Sénégal
Mathematics Subject Classification: (2010)
Key words: Hopfian module, generalized hopfian module, duo-rings, generalized
SCS-ring
Abstract:
Abstract - Let R be a ring. A left R-module M is said to be left generalized
hopfian if every surjective endomormphism of M is superfluous. The ring R is called a
left generalized SCS-ring if every left generalized hopfian module is finitely
cogenerated. The purpose of this note is to give a characterization of generalized
SCS-duo-rings.