Original full research article
Trivial Ring Extension of Suitable-Like Conditions and some properties
Keywords
- von Neumann regular ring
- suitable rings.
- Trivial ring extension
- semipotent ring
- clean ring
- potent ring
- idealization
Abstract
We investigate the transfer of the notion of suitable rings along with related concepts, such as potent and semipotent rings, in the general context of the trivial ring extension, then we put these results in use to enrich the literature with new illustrative and counter examples subject to these ringtheoretic notions. Also we discuss some basic properties of the mentioned notions.
Article history
- Received
- 2018-09-06
- Accepted
- 2018-12-06
Recommended Citation
Trivial Ring Extension of Suitable-Like Conditions and some properties
APA
Adarbeh, K. (2019). Trivial Ring Extension of Suitable-Like Conditions and some properties. An-Najah University Journal for Research - A (Natural Sciences), 33(1), 115–125. https://doi.org/10.35552/anujr.a.33.1.1618
IEEE
[1]K. Adarbeh, “Trivial Ring Extension of Suitable-Like Conditions and some properties,” An-Najah University Journal for Research - A (Natural Sciences), vol. 33, no. 1, pp. 115–125, Feb. 2019, doi: 10.35552/anujr.a.33.1.1618.
MLA
Adarbeh, Khalid. “Trivial Ring Extension of Suitable-like Conditions and Some Properties.” An-Najah University Journal for Research - A (Natural Sciences), edited by , vol. 33, no. 1, Feb. 2019, pp. 115–25. Crossref, https://doi.org/10.35552/anujr.a.33.1.1618.
Vancouver
1.Adarbeh K. Trivial Ring Extension of Suitable-Like Conditions and some properties. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2019 Feb;33(1):115–25. Available from: http://dx.doi.org/10.35552/anujr.a.33.1.1618
Chicago
Adarbeh, Khalid. “Trivial Ring Extension of Suitable-Like Conditions and Some Properties.” An-Najah University Journal for Research - A (Natural Sciences) 33, no. 1 (February 2019): 115–25. https://doi.org/10.35552/anujr.a.33.1.1618.
بحث أصيل كامل
التمديدات الحلقية البديهية للملحقات المتكافئة وشبيهاتها وبعض الخصائص
الكلمات الإفتتاحية
- von Neumann regular ring
- suitable rings.
- Trivial ring extension
- semipotent ring
- clean ring
- potent ring
- idealization
الملخص
نبحث في هذا المنشور عملية انتقال مفهوم الحلقات المتكافئة وبعض المفاهيم المرتبطة كمفهومي الحلقات القوية وشبة القوية في الحالة العامة من التمديدات الحلقية البديهية، ومن ثم نستخدم النتائج الجديدة في تزويد المطبوعات بأمثلة توضيحية تخضع للمفاهيم المدروسة. منا نناقش بعض الخصائص الحلقية لهذه المفاهيم
Article history
- تاريخ التسليم
- 2018-09-06
- تاريخ القبول
- 2018-12-06
Recommended Citation
التمديدات الحلقية البديهية للملحقات المتكافئة وشبيهاتها وبعض الخصائص
APA
Adarbeh, K. (2019). Trivial Ring Extension of Suitable-Like Conditions and some properties. An-Najah University Journal for Research - A (Natural Sciences), 33(1), 115–125. https://doi.org/10.35552/anujr.a.33.1.1618
IEEE
[1]K. Adarbeh, “Trivial Ring Extension of Suitable-Like Conditions and some properties,” An-Najah University Journal for Research - A (Natural Sciences), vol. 33, no. 1, pp. 115–125, Feb. 2019, doi: 10.35552/anujr.a.33.1.1618.
MLA
Adarbeh, Khalid. “Trivial Ring Extension of Suitable-like Conditions and Some Properties.” An-Najah University Journal for Research - A (Natural Sciences), edited by , vol. 33, no. 1, Feb. 2019, pp. 115–25. Crossref, https://doi.org/10.35552/anujr.a.33.1.1618.
Vancouver
1.Adarbeh K. Trivial Ring Extension of Suitable-Like Conditions and some properties. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2019 Feb;33(1):115–25. Available from: http://dx.doi.org/10.35552/anujr.a.33.1.1618
Chicago
Adarbeh, Khalid. “Trivial Ring Extension of Suitable-Like Conditions and Some Properties.” An-Najah University Journal for Research - A (Natural Sciences) 33, no. 1 (February 2019): 115–25. https://doi.org/10.35552/anujr.a.33.1.1618.