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Homogeneous elements of free algebras have free idealizers
Published online by Cambridge University Press: 24 October 2008
Abstract
Let k be a field, X a set, F = k 〈X〉 the free associative k-algebra, and b an element of F that is homogeneous with respect to the grading of F induced by some map . We show that the idealizer of b in F, S = {f∈F|fb∈bF}, is a free algebra.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 1 , January 1985 , pp. 7 - 26
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- Copyright © Cambridge Philosophical Society 1985
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