S-Strongly Finite Type Rings
Mosbah Eljeri *
Monastir University, Tunisia and Majmaah University, Kingdom of Saudi Arabia.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Commutative rings, S- nite ideal, S-SFT ring.