On projectivity of finitely generated modules

Durǧun, Yılmaz; Kalir, Şİar; Shibeshi, Arbsie Yasİn

doi:10.1080/00927872.2023.2186706

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2024

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Cited by 2 publications

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“…Let R be an associative ring with identity throughout the article, and unless otherwise indicated, any module be a right R-module. Projectivity has been investigated from various angles in the recent studies [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The class {Y ∈ Mod-R : X is Y -projective} for a module X is referred to as the projectivity domain of X and is represented by Pr −1 (X) [16].…”

Section: Introductionmentioning

confidence: 99%

Rings Whose Pure-Projective Modules Have Maximal or Minimal Projectivity Domain

Türkoğlu

2024

Journal of New Theory

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In this study, we investigate the projectivity domain of pure-projective modules. A pure-projective module is called special-pure-projective (s-pure-projective) module if its projectivity domain contains only regular modules. First, we describe all rings whose pure-projective modules are s-pure-projective, and we show that every ring with an s-pure-projective module. Afterward, we research rings whose pure-projective modules are projective or s-pure-projective. Such rings are said to have $*$-property. We determine the right Noetherian rings have $*$-property.

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