Yıl: 2022 Cilt: Sayı: 41 Sayfa Aralığı: 100 - 104 Metin Dili: İngilizce DOI: 10.53570/jnt.1189651 İndeks Tarihi: 26-01-2023

The Source of Primeness of Rings

Öz:
In this study, we define a new concept, i.e., source of primeness of a ring $R$, as $P_{R} := bigcap_{ain R} S_{R}^{a}$ such that $S_{R}^{a}:={bin R mid aRb=(0)}$. We then examine some basic properties of $P_{R}$ related to the ring’s idempotent elements, nilpotent elements, zero divisor elements, and identity elements. Finally, we discuss the need for further research.
Anahtar Kelime: Prime ring semiprime ring source of primeness source of semiprimeness

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Yeşil D, Karalarlıoğlu Camcı D (2022). The Source of Primeness of Rings. , 100 - 104. 10.53570/jnt.1189651
Chicago Yeşil Didem,Karalarlıoğlu Camcı Didem The Source of Primeness of Rings. (2022): 100 - 104. 10.53570/jnt.1189651
MLA Yeşil Didem,Karalarlıoğlu Camcı Didem The Source of Primeness of Rings. , 2022, ss.100 - 104. 10.53570/jnt.1189651
AMA Yeşil D,Karalarlıoğlu Camcı D The Source of Primeness of Rings. . 2022; 100 - 104. 10.53570/jnt.1189651
Vancouver Yeşil D,Karalarlıoğlu Camcı D The Source of Primeness of Rings. . 2022; 100 - 104. 10.53570/jnt.1189651
IEEE Yeşil D,Karalarlıoğlu Camcı D "The Source of Primeness of Rings." , ss.100 - 104, 2022. 10.53570/jnt.1189651
ISNAD Yeşil, Didem - Karalarlıoğlu Camcı, Didem. "The Source of Primeness of Rings". (2022), 100-104. https://doi.org/10.53570/jnt.1189651
APA Yeşil D, Karalarlıoğlu Camcı D (2022). The Source of Primeness of Rings. Journal of New Theory, (41), 100 - 104. 10.53570/jnt.1189651
Chicago Yeşil Didem,Karalarlıoğlu Camcı Didem The Source of Primeness of Rings. Journal of New Theory , no.41 (2022): 100 - 104. 10.53570/jnt.1189651
MLA Yeşil Didem,Karalarlıoğlu Camcı Didem The Source of Primeness of Rings. Journal of New Theory, vol., no.41, 2022, ss.100 - 104. 10.53570/jnt.1189651
AMA Yeşil D,Karalarlıoğlu Camcı D The Source of Primeness of Rings. Journal of New Theory. 2022; (41): 100 - 104. 10.53570/jnt.1189651
Vancouver Yeşil D,Karalarlıoğlu Camcı D The Source of Primeness of Rings. Journal of New Theory. 2022; (41): 100 - 104. 10.53570/jnt.1189651
IEEE Yeşil D,Karalarlıoğlu Camcı D "The Source of Primeness of Rings." Journal of New Theory, , ss.100 - 104, 2022. 10.53570/jnt.1189651
ISNAD Yeşil, Didem - Karalarlıoğlu Camcı, Didem. "The Source of Primeness of Rings". Journal of New Theory 41 (2022), 100-104. https://doi.org/10.53570/jnt.1189651