素数理想上的置换n阶导数的迹

IF 0.9 4区数学 Q2 MATHEMATICS

Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI:10.18514/mmn.2023.4167

Hajar EL Mir, Badr Nejjar, Lahcen Oukhtite

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On traces of permuting n-derivations on prime ideals

. In this article we investigate some properties of permuting n-derivations acting on a prime ideal. More precisely, let n ≥ 2 be a ﬁxed positive integer, P be a prime ideal of a ring R such that R / P is ( n + 1 ) !-torsion free. If there exists a permuting n -derivation ∆ : R n −→ R such that the trace δ of ∆ satisﬁes (cid:2) [ δ ( x ) , x ] , x (cid:3) ∈ Z ( R / P ) for all x ∈ R , then ∆ ( R n ) ⊆ P or R/P is commutative.

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来源期刊

Miskolc Mathematical Notes MATHEMATICS-

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1.50

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0.00%

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期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.