Communications of the
Korean Mathematical Society
CKMS

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

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Commun. Korean Math. Soc. 2018; 33(1): 45-51

Online first article December 1, 2017      Printed January 31, 2018

https://doi.org/10.4134/CKMS.c170055

Copyright © The Korean Mathematical Society.

Some remarks on Camillo-Krause conjecture

Bahram Amirsardari

Malayer University

Abstract

This paper contains some results that grew out of an attempt to Camillo-Krause conjecture: Is a ring $R$ right Noetherian if for each nonzero right ideal $I$ of $R$, $R/I$ is an Artinian right $R$-module?

Keywords: Camillo-Krause ring, Artinian module, Noetherian module

MSC numbers: 16P20, 16P40, 16E60

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