2010Journal of Harbin University of CommerceRequires access

Commutativity of rings with constraints on varying polynomial equality

Xinsong Yang

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Abstract

By Herstein's famous theory about commutativity and Jaconson's density theorems,applying determinant in system and solutions of linear equations,commutativity of semi-prime rings is studied.A theorem of commutativity of semi-prime rings is obtained.In this paper,constrain of polynomial is relative universal,the conclusion contains a few papers about recent years,so this paper becomes generalization of them.

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By Herstein's famous theory about commutativity and Jaconson's density theorems,applying determinant in system and solutions of linear equations,commutativity of semi-prime rings is studied.A theorem of commutativity of semi-prime rings is obtained.In this paper,constrain of polynomial is relative universal,the conclusion contains a few papers about recent years,so this paper becomes generalization of them.

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Available abstract

By Herstein's famous theory about commutativity and Jaconson's density theorems,applying determinant in system and solutions of linear equations,commutativity of semi-prime rings is studied.A theorem of commutativity of semi-prime rings is obtained.In this paper,constrain of polynomial is relative universal,the conclusion contains a few papers about recent years,so this paper becomes generalization of them.

Key concepts: Commutative property, Generalization, Prime (order theory), Mathematics, Polynomial ring, Polynomial, Pure mathematics, Algebra over a field

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