Volume 18, Issue 2 (10-2023)                   IJMSI 2023, 18(2): 25-30 | Back to browse issues page

XML Print

Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Dorbidi H R. Some Classes of Weakly Prime Center Rings. IJMSI 2023; 18 (2) :25-30
URL: http://ijmsi.ir/article-1-1066-en.html

Let R be a ring. The ring R is called weakly prime center(WPC ring) if ab∈Z(R) implies that aRb is an ideal of R. In this paper, we prove that every left(right) duo ring is a WPC ring. Also we prove that some classes of rings with nilpotent Jacobson radical are WPC rings. Finally, we prove that a simple ring is a WPC ring if and only if it is a domain.

Type of Study: Research paper | Subject: General

1. N. K. Kim, Y. Lee, Extensions of Reversible Rings, J. Pure Appl. Algebra, 185, (2003), 207-233. [DOI:10.1016/S0022-4049(03)00109-9]
2. T. Y. Lam, A First Course in Noncommutative Rings, Springer-Verlag, New York, 2001. [DOI:10.1007/978-1-4419-8616-0] [PMID]
3. L. H. Rowen, Ring Theory (Student edition), Academic Press. London-Newyork, 1991.
4. J. C. Wei, On Rings with Weakly Prime Centers, J. Ukrain. Math, 66(12), (2015), 1812-1822. [DOI:10.1007/s11253-015-1053-9]

Add your comments about this article : Your username or Email:

Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

© 2024 CC BY-NC 4.0 | Iranian Journal of Mathematical Sciences and Informatics

Designed & Developed by : Yektaweb