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 $q$-ideally differential and $i$-ideally differential commutative Artinian rings Bull. Korean Math. Soc. 2002 Vol. 39, No. 1, 1-8 Published online March 1, 2002 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 Full-Text :