Monoid rings that are firs (Q919082)
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scientific article; zbMATH DE number 4158884
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monoid rings that are firs |
scientific article; zbMATH DE number 4158884 |
Statements
Monoid rings that are firs (English)
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1990
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Let M be a free product of a free group and a free monoid. Then the monoid ring KM over any skew field K is a fir. The author cites five distinct proofs of this result [cf. e.g. \textit{P. M. Cohn}, Free rings and their relations (2nd ed., Academic Press, London 1985; Zbl 0659.16001)] and gives another very direct proof using transductions, which produces a basis consisting of monomials for each left ideal.
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free product
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free group
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free monoid
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monoid ring
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skew field
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fir
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transductions
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basis
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0.89491844
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0.8931437
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0.88887966
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