S-Strongly Finite Type Rings
Asian Research Journal of Mathematics · pp. 1–9 · Published 11 Jun 2018
10.9734/ARJOM/2018/41715Abstract
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.
Cited by 4
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