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The q.Zariski topology on the quasi-primary spectrum of a ring
Authors: Mahdi Samiei, Hosein Fazaeli Moghimi
Keywords: quasi-primary ideal, q.Zariski topology
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Keywords: quasi-primary ideal, q.Zariski topology
Abstract
Let $R$ be a commutative ring with identity. We topologize $\q(R)$, the quasi-primary spectrum of $R$, in a way similar to that of defining the Zariski topology on the prime spectrum of $R$, and investigate the properties of this topological space. Rings whose q.Zariski topology is respectively $T_0$, $T_1$, irreducible or Noetherian are studied, and several characterizations of such rings are given.Department of Mathematics, Velayat University,
Iranshar, Iran
E-mail: ,
Iranshar, Iran
E-mail: ,
Fulltext
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Contents
- The q.Zariski topology on the quasi-primary spectrum of a ring
- Unified Approach to Starlike and Convex Functions Involving Poisson Distribution Series
- Numerical Implementation of Daftardar-Gejji and Jafari Method to the Quadratic Riccati Equation
- On differentially prime subsemimodules
- Strong stability for multiobjective investment problem with perturbed minimax risks of different types and parameterized optimality
- Second order state-dependent sweeping process with unbounded perturbation
- Upper Bounds for the Number of Limit Cycles for a Class of Polynomial Differential Systems Via The Averaging Method
- Methods of construction of Hausdorff extensions
