EFFECT OF POLYNOMIAL IDENTITY X [X, Y]= 
(X [X, Y])N IN THE COMMUTATIVITY OF RINGS

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TABATABAEI ZOHRE

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2009 | Volume:3 | Issue:2 (S.N. 6) Page(s): 69-75

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Information Journal Paper

Title

EFFECT OF POLYNOMIAL IDENTITY X [X, Y]= (X [X, Y])N IN THE COMMUTATIVITY OF RINGS

Author(s)

TABATABAEI ZOHRE | Issue Writer Certificate

Keywords

COMMUTATOR

LEFT(RIGHT) S-UNITAL

LEFT SEMISIMPLE RING

JACOBSON RADICAL

LEFT PRIMITIVE RING

DIVISION RING

FAITHFULSIMPLE LEFT R-MODULE

Abstract

In this paper we study some sufficient conditions for commutativity of a ring according to Jacobsons'idea. Jacobson proved that if R is a ring satisfying xn= x (n>1) for each x Î R, then R is commutative. In this paper, we show that R is commutative if for every x, y 2 R there exists a positive integer n= n (x, y) such that (x [x, y])n = x [x, y].

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APA: Copy

TABATABAEI, ZOHRE. (2009). EFFECT OF POLYNOMIAL IDENTITY X [X, Y]= (X [X, Y])^N IN THE COMMUTATIVITY OF RINGS. JOURNAL OF MATHEMATICAL EXTENSION, 3(2 (S.N. 6)), 69-75. SID. https://sid.ir/paper/564282/en

Vancouver: Copy

TABATABAEI ZOHRE. EFFECT OF POLYNOMIAL IDENTITY X [X, Y]= (X [X, Y])^N IN THE COMMUTATIVITY OF RINGS. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2009;3(2 (S.N. 6)):69-75. Available from: https://sid.ir/paper/564282/en

IEEE: Copy

ZOHRE TABATABAEI, “EFFECT OF POLYNOMIAL IDENTITY X [X, Y]= (X [X, Y])^N IN THE COMMUTATIVITY OF RINGS,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 3, no. 2 (S.N. 6), pp. 69–75, 2009, [Online]. Available: https://sid.ir/paper/564282/en

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