Commutativity of Rings Satisfying a Polynomial Identity
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Theorem. If a ring with identity element 1 satisfies xk[nn,y] = [x,ym]y', for all x,y∈R where n>1 and m are fixed relatively prime positive integers and k,1 are any non-negative integers then R is commutative.
Abstract
We prove the followingTheorem. If a ring with identity element 1 satisfies xk[nn,y] = [x,ym]y', for all x,y∈R where n>1 and m are fixed relatively prime positive integers and k,1 are any non-negative integers then R is commutative.
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Published
2003-12-01
How to Cite
Gupta, V. (2003). Commutativity of Rings Satisfying a Polynomial Identity. The Journal of the Indian Mathematical Society, 70(1-4), 255–256. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/21990
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Copyright (c) 2003 Vishnu Gupta
This work is licensed under a Creative Commons Attribution 4.0 International License.