The index of nillity of the tensor product of a nil ring of bounded index by a matrix ring (Q689726)
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scientific article; zbMATH DE number 446323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The index of nillity of the tensor product of a nil ring of bounded index by a matrix ring |
scientific article; zbMATH DE number 446323 |
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The index of nillity of the tensor product of a nil ring of bounded index by a matrix ring (English)
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17 November 1993
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The notion of an absolutely-nil ring of bounded index is defined and is used to bound the index of nillity of the tensor product of a nil ring of bounded index by certain matrix rings, including the ring of matrices over an arbitrary commutative ring. In particular it is proved that if \(R[X]\) is a nil ring of index \(\leq m\) then the ring \(M_ k(R)\) is nil of index \(\leq km\).
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absolutely-nil ring of bounded index
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index of nillity
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tensor product
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nil ring of bounded index
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matrix rings
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