Asian Research Journal of Mathematics, 2456-477X,Vol.: 9, Issue.: 4
S-Strongly Finite Type Rings
1Monastir University, Tunisia.
2Majmaah University, Kingdom of Saudi Arabia.
(1) Junjie Chen, Department of Electrical Engineering, University of Texas at Arlington, USA.
(1) Areej M. Abduldaim, University of Technology, Iraq.
(2) Celil Nebiyev, 19 Mayis University, Turkey.
Complete Peer review History: http://www.sciencedomain.org/review-history/25090
In this paper a ring means a commutative ring with identity element and S is a multiplicatively closed subset of the studied ring whose elements are regular. Inspiring from the work of J. Arnold about strongly finite type rings and D. E. Rush's about noetherian spectrum rings, we introduce two types of rings that are S-strongly finite type rings and S-noetherian spectrum rings. We give some characterizations of these rings and we illustrate them by many examples.
Commutative rings; S- nite ideal; S-SFT ring.
DOI : 10.9734/ARJOM/2018/41715Review History Comments