When some complement of a certain submodule is a summand
Yıl: 2021 Cilt: 23 Sayı: 2 Sayfa Aralığı: 867 - 872 Metin Dili: İngilizce DOI: 10.25092/baunfbed.894416 İndeks Tarihi: 29-07-2022
When some complement of a certain submodule is a summand
Öz: In this study, the modules whose p-submodules have a complement which is a direct summand are explored. The module theoretical properties such as direct sums and summands are investigated. As opposed to direct sums, this condition does not transfer to the direct summands. Thus, it is examined that under what conditions the direct summands fulfill the property. Examples are given to demonstrate the results.
Anahtar Kelime: Belirli alt modüllerinin tümleyeni toplanan olan modüller
Öz: Bu çalışmada p-alt modüllerinin tümleyeni dik toplanan olan modüller araştırılmıştır. Dik toplam ve dik toplanan gibi modül teorik özellikler incelenmiştir. Dik toplamın aksine, bu modül özelliği dik toplananlara taşınmadığından, hangi koşullar altında ilgili özelliğin dik toplananlara aktarıldığı üzerinde çalışılmıştır. Elde edilen sonuçları niteleyen örneklere yer verilmiştir.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- Dung, N. V., Huynh, D. V., Smith, P. F., Wisbauer, R., Extending Modules, Longman, Harlow, (1994).
- Birkenmeier, G. F., Tercan, A., Yücel, C. C., The extending condition relative to sets of submodules, Communications in Algebra 42, 764-778, (2014).
- Kaplansky, I., Infinite Abelian Groups, University of Michigan Press, (1969).
- Smith, P. F., Tercan A., Generalizations of CS-modules, Communications in Algebra 21(6), 1809-1847, (1993).
- Tercan, A., On CLS-modules, Rocky Mountain Journal of Mathematics, 25(4), 1557-1564, (1995).
- Tercan, A., Yücel, C. C., Module Theory, Extending Modules and Generalizations, Birkhäuser, Basel, (2016).
- Fuchs, L,. Infinite Abelian Groups I, Academic Press, New York, (1970).
- Kara, Y., Modules whose p -submodules are direct summands, Turkish Journal of Mathematics, 42 (1), 28-33, (2018).
- Goodearl, K. R., Ring Theory: Nonsingular Rings and Modules, Dekker, New York, (1976).
- Garcia, J. L., Properties of direct summands of modules, Communications in Algebra, 17(1), 73–92, (1989).
| APA | Kara Y (2021). When some complement of a certain submodule is a summand. , 867 - 872. 10.25092/baunfbed.894416 |
| Chicago | Kara Yeliz When some complement of a certain submodule is a summand. (2021): 867 - 872. 10.25092/baunfbed.894416 |
| MLA | Kara Yeliz When some complement of a certain submodule is a summand. , 2021, ss.867 - 872. 10.25092/baunfbed.894416 |
| AMA | Kara Y When some complement of a certain submodule is a summand. . 2021; 867 - 872. 10.25092/baunfbed.894416 |
| Vancouver | Kara Y When some complement of a certain submodule is a summand. . 2021; 867 - 872. 10.25092/baunfbed.894416 |
| IEEE | Kara Y "When some complement of a certain submodule is a summand." , ss.867 - 872, 2021. 10.25092/baunfbed.894416 |
| ISNAD | Kara, Yeliz. "When some complement of a certain submodule is a summand". (2021), 867-872. https://doi.org/10.25092/baunfbed.894416 |
| APA | Kara Y (2021). When some complement of a certain submodule is a summand. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 23(2), 867 - 872. 10.25092/baunfbed.894416 |
| Chicago | Kara Yeliz When some complement of a certain submodule is a summand. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23, no.2 (2021): 867 - 872. 10.25092/baunfbed.894416 |
| MLA | Kara Yeliz When some complement of a certain submodule is a summand. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.23, no.2, 2021, ss.867 - 872. 10.25092/baunfbed.894416 |
| AMA | Kara Y When some complement of a certain submodule is a summand. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2021; 23(2): 867 - 872. 10.25092/baunfbed.894416 |
| Vancouver | Kara Y When some complement of a certain submodule is a summand. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2021; 23(2): 867 - 872. 10.25092/baunfbed.894416 |
| IEEE | Kara Y "When some complement of a certain submodule is a summand." Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 23, ss.867 - 872, 2021. 10.25092/baunfbed.894416 |
| ISNAD | Kara, Yeliz. "When some complement of a certain submodule is a summand". Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23/2 (2021), 867-872. https://doi.org/10.25092/baunfbed.894416 |
