2011•Harbin Ligong Daxue xuebaoOpen access

A Generalization on the Commutativity Conditions of Semiprime-PI Rings

Xinsong Yang

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Abstract

In this paper the commutativity of semi-prime rings is investigated.On the basis of Herstein's famous theory and Jacobson's density theory,applying determinant on division ring and a system of linear equations,we obtain a commutativity theorem of semiprime-PI rings.The constrain of polynomial of this paper is relative universal and the theorem contains a few recent results,which become the corollary of this theorem.

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In this paper the commutativity of semi-prime rings is investigated.On the basis of Herstein's famous theory and Jacobson's density theory,applying determinant on division ring and a system of linear equations,we obtain a commutativity theorem of semiprime-PI rings.The constrain of polynomial of this paper is relative universal and the theorem contains a few recent results,which become the corollary of this theorem.

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Available abstract

In this paper the commutativity of semi-prime rings is investigated.On the basis of Herstein's famous theory and Jacobson's density theory,applying determinant on division ring and a system of linear equations,we obtain a commutativity theorem of semiprime-PI rings.The constrain of polynomial of this paper is relative universal and the theorem contains a few recent results,which become the corollary of this theorem.

Key concepts: Semiprime ring, Mathematics, Corollary, Generalization, Commutative property, Pure mathematics, Polynomial ring, Semiprime

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