On generalized morphic modules Article Swipe
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Seçil Çeken
,
Ünsal Teki̇̀r
,
Suat Koç
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.2478/auom-2025-0007
· OA: W4417420612
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.2478/auom-2025-0007
· OA: W4417420612
Aim of the present article is to extend generalized morphic ring to modules. Let R be a commutative ring with a unity and M an R -module. M is said to be a generalized morphic module if for each m ∈ M , there exists a ∈ R such that ann R ( m ) = ( a ) + ann R ( M ), where ( a ) is the principal ideal generated by an element a ∈ R . Many examples and characterizations of generalized morphic modules are given. Moreover, as an application of generalized morphic modules, we use them to characterize Baer modules and principal ideal rings.
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