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S-SUPERFLUOUS AND S-ESSENTIAL HOMOMORPHISMS
Authors:Zhu Haiyan  Ding Nanqing
Abstract:Let R be a ring and S a class of R-modules. S-superfluous epimorphisms and S-essential monomorphisms are introduced and studied in this article. As appli-cations, some new characterizations of yon Neumann regular rings and perfect rings are given. Finally, these notions are also used to study minimal homomorphisms.
Keywords:S-essential  monomorphism  S-superfluous  epimorphism  (pre)cover  (pre)envelope
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