On Half-Primary Rings |
Received:June 20, 1992 |
Key Words:
haif-primary ring pseudo-valuation domain commutative ring.
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Fund Project:Project Supported by the Natural Science Foundation of Liaoning Province. |
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Abstract: |
A commutative ring R is called a (restricted) half- primary ring if for each(non-zero) principal ideal A of R, A1/2 is a prime ideal. In this paper we characterize therestricted half-primary rings, and give a complete classification of Noetherian restrictedhaif-primary rings with identity and a condition that a half-primary domain is a pseudo-valuation domain . |
Citation: |
DOI:10.3770/j.issn:1000-341X.1994.03.005 |
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