Homogeneous elements of free algebras have free idealizers
1985 ◽
Vol 97
(1)
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pp. 7-26
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AbstractLet 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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1970 ◽
Vol 13
(1)
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pp. 139-140
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1987 ◽
Vol 36
(1)
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pp. 11-17
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2020 ◽
Vol 30
(1)
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pp. 33-43
2001 ◽
Vol 11
(06)
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pp. 779-786
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1997 ◽
Vol 7
(6)
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pp. 701-713
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2019 ◽
Vol 29
(05)
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pp. 849-859
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