A note on almost maximal chain rings (Q2039339)
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scientific article; zbMATH DE number 7367403
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on almost maximal chain rings |
scientific article; zbMATH DE number 7367403 |
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A note on almost maximal chain rings (English)
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2 July 2021
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Summary: This paper discusses maximal and almost maximal rings in a non-commutative setting. Annihilators ideals in chain rings and their relationship to the concept of self-injectivity are investigated. In particular, a two-sided chain ring is right self-injective if and only if it is right co-Hopfian and a left maximal ring. Finally, localizations of chain rings are discussed.
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non-commutative ring theory
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chain and duo rings
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self-injective rings
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almost maximal rings
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co-Hopfian modules
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