Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2002; 39(1): 1-8

Printed March 1, 2002

Copyright © The Korean Mathematical Society.

$q$-ideally differential and $i$-ideally differential commutative Artinian rings

O. D. Artemovych

Ivan Franko National University

Abstract

We characterize the commutative Artinian rings $R$ every proper quotient ring (respectively every proper ideal) in which is invariant with respect to all derivations.

Keywords: ideally differential ring, Artinian ring, differentially trivial ring, local ring, $v$-ring

MSC numbers: 13A72, 13A12