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http://dx.doi.org/10.4134/BKMS.b210155

THE CLASS OF WEAK w-PROJECTIVE MODULES IS A PRECOVER  

Kim, Hwankoo (Division of Computer Engineering Hoseo University)
Qiao, Lei (College of Mathematics and Software Science Sichuan Normal University)
Wang, Fanggui (College of Mathematics and Software Science Sichuan Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.59, no.1, 2022 , pp. 141-154 More about this Journal
Abstract
Let R be a commutative ring with identity. Denote by w𝒫w the class of weak w-projective R-modules and by w𝒫w⊥ the right orthogonal complement of w𝒫w. It is shown that (w𝒫w, w𝒫w⊥) is a hereditary and complete cotorsion theory, and so every R-module has a special weak w-projective precover. We also give some necessary and sufficient conditions for weak w-projective modules to be w-projective. Finally it is shown that when we discuss the existence of a weak w-projective cover of a module, it is enough to consider the w-envelope of the module.
Keywords
Weak w-projective precover; w-operation (theory); cotorsion theory;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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