Quasi regular modules and trivial extension
Yıl: 2021 Cilt: 50 Sayı: 1 Sayfa Aralığı: 120 - 134 Metin Dili: İngilizce DOI: 10.15672/hujms.613404 İndeks Tarihi: 29-07-2022
Quasi regular modules and trivial extension
Öz: Recall that a ring $R $is said to be a quasi regular ring if its total quotient ring $q(R) $is textit{von Neumann regular}. It is well known that a ring $R $is quasi regular if and only if it is a reduced ring satisfying the property: for each $ain R,$ $ann_{R}(ann_{R}(a))=ann_{R}(b)$ for some $bin R$. Here, in this study, we extend the notion of quasi regular rings and rings which satisfy the aforementioned property to modules. We give many characterizations and properties of these two classes of modules. Moreover, we investigate the (weak) quasi regular property of trivial extension.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA | Jayaram C, Tekir U, Koç S (2021). Quasi regular modules and trivial extension. , 120 - 134. 10.15672/hujms.613404 |
Chicago | Jayaram Chillumuntala,Tekir Unsal,Koç Suat Quasi regular modules and trivial extension. (2021): 120 - 134. 10.15672/hujms.613404 |
MLA | Jayaram Chillumuntala,Tekir Unsal,Koç Suat Quasi regular modules and trivial extension. , 2021, ss.120 - 134. 10.15672/hujms.613404 |
AMA | Jayaram C,Tekir U,Koç S Quasi regular modules and trivial extension. . 2021; 120 - 134. 10.15672/hujms.613404 |
Vancouver | Jayaram C,Tekir U,Koç S Quasi regular modules and trivial extension. . 2021; 120 - 134. 10.15672/hujms.613404 |
IEEE | Jayaram C,Tekir U,Koç S "Quasi regular modules and trivial extension." , ss.120 - 134, 2021. 10.15672/hujms.613404 |
ISNAD | Jayaram, Chillumuntala vd. "Quasi regular modules and trivial extension". (2021), 120-134. https://doi.org/10.15672/hujms.613404 |
APA | Jayaram C, Tekir U, Koç S (2021). Quasi regular modules and trivial extension. Hacettepe Journal of Mathematics and Statistics, 50(1), 120 - 134. 10.15672/hujms.613404 |
Chicago | Jayaram Chillumuntala,Tekir Unsal,Koç Suat Quasi regular modules and trivial extension. Hacettepe Journal of Mathematics and Statistics 50, no.1 (2021): 120 - 134. 10.15672/hujms.613404 |
MLA | Jayaram Chillumuntala,Tekir Unsal,Koç Suat Quasi regular modules and trivial extension. Hacettepe Journal of Mathematics and Statistics, vol.50, no.1, 2021, ss.120 - 134. 10.15672/hujms.613404 |
AMA | Jayaram C,Tekir U,Koç S Quasi regular modules and trivial extension. Hacettepe Journal of Mathematics and Statistics. 2021; 50(1): 120 - 134. 10.15672/hujms.613404 |
Vancouver | Jayaram C,Tekir U,Koç S Quasi regular modules and trivial extension. Hacettepe Journal of Mathematics and Statistics. 2021; 50(1): 120 - 134. 10.15672/hujms.613404 |
IEEE | Jayaram C,Tekir U,Koç S "Quasi regular modules and trivial extension." Hacettepe Journal of Mathematics and Statistics, 50, ss.120 - 134, 2021. 10.15672/hujms.613404 |
ISNAD | Jayaram, Chillumuntala vd. "Quasi regular modules and trivial extension". Hacettepe Journal of Mathematics and Statistics 50/1 (2021), 120-134. https://doi.org/10.15672/hujms.613404 |