On LN rings and topological properties of prime spectra-Reference-Cited by-同舟云学术

On LN rings and topological properties of prime spectra

Published:2016-03-30 Issue:06 Volume:15 Page:1650102
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Hong Chan Yong¹,Kim Nam Kyun²,Lee Yang³

Affiliation:

1. Department of Mathematics, and Research Institute for Basic Sciences, Kyung Hee University, Seoul 131–701, South Korea

2. Faculty of Liberal Arts and Sciences, Hanbat National University, Daejeon 305-719, South Korea

3. Department of Mathematics, Pusan National University, Pusan 609-735, South Korea

Abstract

In this paper, we first introduce the new class of LN rings, motivated by 2-primal rings and NI rings. We then deal with elementary properties of LN rings, observing relations between this and other known classes of rings. Finally, we study topological conditions, such as connectedness and normality, of several prime spectra that can be naturally associated to a given ring.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498816501024

Reference22 articles.

1. On Rings Having McCoy-Like Conditions

2. Regularity conditions and the simplicity of prime factor rings

3. Mathematical expositions;Divinsky N. J.,1964

4. Strongly prime rings

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