Trivial Ring Extension of Suitable-Like Conditions and some properties
Authors:
Article info
2018-09-06
2018-12-06
115 - 125
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.
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
[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.
Adarbeh, Khalid. “Trivial Ring Extension of Suitable-Like Conditions and Some Properties.” An-Najah University Journal for Research - A (Natural Sciences), vol. 33, no. 1, Feb. 2019, pp. 115–25. Crossref, https://doi.org/10.35552/anujr.a.33.1.1618.
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
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.
التمديدات الحلقية البديهية للملحقات المتكافئة وشبيهاتها وبعض الخصائص
المؤلفون:
معلومات المقال
2018-09-06
2018-12-06
115 - 125
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
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
[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.
Adarbeh, Khalid. “Trivial Ring Extension of Suitable-Like Conditions and Some Properties.” An-Najah University Journal for Research - A (Natural Sciences), vol. 33, no. 1, Feb. 2019, pp. 115–25. Crossref, https://doi.org/10.35552/anujr.a.33.1.1618.
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
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.
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