Characterization of rings using socle-fine and radical-fine notions (Q2738457)
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scientific article; zbMATH DE number 1639632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of rings using socle-fine and radical-fine notions |
scientific article; zbMATH DE number 1639632 |
Statements
9 September 2002
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radicals
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perfect selfinjective rings
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PF-rings
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QF-rings
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V-rings
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semi-primitive rings
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Characterization of rings using socle-fine and radical-fine notions (English)
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A class of modules is called socle-fine if nonisomorphic elements have nonisomorphic socles. Dually, a class of modules is called radical-fine if nonisomorphic elements have nonisomorphic factors by their radical. The aim of this paper is to characterize perfect, selfinjective rings as well as PF-rings, QF-rings, SV-rings, V-rings and semi-primitive rings, respectively, by describing classes of modules which are either radical-fine or socle-fine.NEWLINENEWLINEFor the entire collection see [Zbl 0963.00025].
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