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Durğun Y.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, vol.15, no.08, pp.1-12, 2022 (ESCI)
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Publication Type:
Article / Article
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Volume:
15
Issue:
08
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Publication Date:
2022
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Doi Number:
10.1142/s179355712250156x
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Journal Name:
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
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Journal Indexes:
Emerging Sources Citation Index (ESCI), Scopus, zbMATH
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Page Numbers:
pp.1-12
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Keywords:
RD-injective module, subinjective domain, rdpi-indigent module, divisible module, torsionfree module
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Çukurova University Affiliated:
Yes
Abstract
The subjectivity domain of a module allows us to evaluate how close (or far) a module is from being injective. In this paper, we consider three families of rings characterized by their RD-injective left [Formula: see text]-modules via the subinjective domain: those whose noninjective RD-injective left [Formula: see text]-modules are subinjective relatively only to divisible modules, those whose noninjective RD-injective left [Formula: see text]-modules are subinjective relatively only to fp-injective modules and those whose noninjective RD-injective left [Formula: see text]-modules are subinjective relatively only to injective modules.