Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2019; 34(1): 95-103

Online first article October 18, 2018      Printed January 31, 2019

https://doi.org/10.4134/CKMS.c180018

Copyright © The Korean Mathematical Society.

Torsion modules and spectral spaces

Hajar Roshan-Shekalgourabi

Arak University of Technology

Abstract

In this paper we study certain modules whose prime spectrums are Noetherian or/and spectral spaces. In particular, we investigate the relationship between topological properties of prime spectra of torsion modules and algebraic properties of them.

Keywords: torsion modules, prime submodules, Zariski topology, spectral space

MSC numbers: Primary 13C13, Secondary 13C12, 54D05, 13D45