Commutativity of rings with constraints on varying polynomial equality
Xinsong Yang
Abstract
Xinsong Yang
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.
Key concepts: Commutative property, Generalization, Prime (order theory), Mathematics, Polynomial ring, Polynomial, Pure mathematics, Algebra over a field