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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.

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