Maximal quotient rings and essential right ideals in group rings of locally finite groups (Q1802369)
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scientific article; zbMATH DE number 203313
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal quotient rings and essential right ideals in group rings of locally finite groups |
scientific article; zbMATH DE number 203313 |
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Maximal quotient rings and essential right ideals in group rings of locally finite groups (English)
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21 July 1993
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Let \(k\) be a commutative field and let \(G\) be a locally finite group with no elements of order \(p\) if \(k\) has characteristic \(p>0\). It follows that the group algebra \(kG\) is a von Neumann regular ring and it is shown here that the type \(I_ \infty\) part of its maximal right quotient ring is zero. This was known previously under various supplementary hypotheses and these special cases are used in the present proof of the general case.
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locally finite group
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group algebra
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von Neumann regular ring
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type \(I_ \infty\) part
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maximal right quotient ring
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