Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2017; 32(3): 553-563

Online first article July 11, 2017      Printed July 31, 2017

https://doi.org/10.4134/CKMS.c160230

Copyright © The Korean Mathematical Society.

Topological dimension of pseudo-prime spectrum of modules

Dawood Hassanzadeh-Lelekaami and Hajar Roshan-Shekalgourabi

Arak University of Technology, Arak University of Technology

Abstract

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Different topological dimensions related to the pseudo-prime spectrum of topological modules are studied. An example of topological modules is introduced. Also, we give a result about Noetherianness of the pseudo-prime spectrum of topological modules.

Keywords: pseudo-prime submodule, Zariski topology, topological module, Noetherian space, combinatorial dimension

MSC numbers: 13C13, 13C99

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