Two new types of rings constructed from quasiprime ideals (Q539371)
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scientific article; zbMATH DE number 5900726
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two new types of rings constructed from quasiprime ideals |
scientific article; zbMATH DE number 5900726 |
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Two new types of rings constructed from quasiprime ideals (English)
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27 May 2011
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Summary: Keigher showed that quasi-prime ideals in differential commutative rings are analogues of prime ideals in commutative rings. In that direction, he introduced and studied new types of differential rings using quasi-prime ideals of a differential ring. In the same sprit, we define and study two new types of differential rings which lead to the mirrors of the corresponding results on von Neumann regular rings and principally flat rings (PF-rings) in commutative rings, especially, for rings of positive characteristic.
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