Acta mathematica scientia, Series B >
S-SUPERFLUOUS AND S-ESSENTIAL HOMOMORPHISMS
Received date: 2006-11-08
Online published: 2009-03-20
Supported by
Supported by Specialized Research Fund for the Doctoral Program of Higher Education (20050284015) and National Natural Science Foundation of China (10771096)
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 von Neumann regular rings and perfect rings are given. Finally, these notions are also used to study minimal homomorphisms.
Key words： S-essential; monomorphism; S-superfluous; epimorphism; (pre)cover; (pre)envelope
Zhu Haiyan , Ding Nanqing . S-SUPERFLUOUS AND S-ESSENTIAL HOMOMORPHISMS[J]. Acta mathematica scientia, Series B, 2009 , 29(2) : 391 -401 . DOI: 10.1016/S0252-9602(09)60038-2
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