A note on regular self-injective rings (Q795138)
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scientific article; zbMATH DE number 3861359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on regular self-injective rings |
scientific article; zbMATH DE number 3861359 |
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A note on regular self-injective rings (English)
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1984
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It is proved that a (von Neumann) regular ring R is right and left self- injective if and only if the dual of every nonzero finitely generated nonsingular right (left) R-module is a nonzero finitely generated left (right) R-module. In case R is commutative, it is shown that R is self- injective if and only if the dual of every finitely generated R-module is finitely generated.
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regular ring
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right and left self-injective
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dual
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finitely generated R- module
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0.96125215
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0.95445305
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0.94944906
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0.9406427
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