Right Utumi p.p.-rings. (Q624842)
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scientific article; zbMATH DE number 5849493
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Right Utumi p.p.-rings. |
scientific article; zbMATH DE number 5849493 |
Statements
Right Utumi p.p.-rings. (English)
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10 February 2011
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A right non-singular ring \(R\) is called a right Utumi ring if every right ideal \(I\) of \(R\) with \(R/I\) non-singular is a right annihilator. The paper shows that the class of right Utumi p.p. rings arises naturally when considering divisible modules. The author discusses in the non-commutative case relationships between various notions of divisibility given for modules over integral domains.
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Utumi rings
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divisible modules
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right annihilators
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right Utumi p.p.-rings
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modules over integral domains
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semi-prime Goldie rings
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