SUMMAND INTERSECTION PROPERTY ON THE CLASS OF EXACT SUBMODULES
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, cilt.111, sa.125, ss.61-68, 2022 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 111 Sayı: 125
- Basım Tarihi: 2022
- Doi Numarası: 10.2298/pim2225061t
- Dergi Adı: PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Central & Eastern European Academic Source (CEEAS), MathSciNet, zbMATH
- Sayfa Sayıları: ss.61-68
- Anahtar Kelimeler: SIP, SIPr, preradical, exact submodule, direct summand, MODULES
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Hacettepe Üniversitesi Adresli: Evet
Özet
A module M is said to have the SIP if intersection of each pair of direct summands is also a direct summand of M. In this article, we define a module M to have the SIPr if and only if intersection of each pair of exact direct summands is also a direct summand of M where r is a left exact preradical for the category of right modules. We investigate structural properties of SIPr-modules and locate the implications between the other summand intersection properties. We deal with decomposition theory as well as direct summands of SIPr-modules. We provide examples by looking at special left exact preradicals.