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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 4

Generalized SIP-modules

Özgür Taşdemir
Fatih Karabacak
Sayfa
1137–1145
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this note, the characterization of this property over rings and modules is investigated and some useful propositions obtained in SIP modules are generalized to GSIP modules.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We say an $R$-module $M$ has the generalized summand intersection property (briefly $GSIP$), if the intersection of any two direct summands is isomorphic to a direct summand.
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Temel Bulgular & Veri:This is a generalization of SIP modules.
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Sonuç & Katkı:In this note, the characterization of this property over rings and modules is investigated and some useful propositions obtained in SIP modules are generalized to GSIP modules.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:SIP · GSIP · injective module

Abstract

We say an $R$-module $M$ has the generalized summand intersection property (briefly $GSIP$), if the intersection of any two direct summands is isomorphic to a direct summand. This is a generalization of SIP modules. In this note, the characterization of this property over rings and modules is investigated and some useful propositions obtained in SIP modules are generalized to GSIP modules.

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Bu Makaleye Atıf Yap

Taşdemir, Ö., Karabacak, F. (2022). Generalized SIP-modules. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 4, 1137–1145. https://ajindex.com/articles/530133

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