| dc.contributor.author | Badawi, Ayman | |
| dc.contributor.author | Lucas, Thomas G. | |
| dc.date.accessioned | 2018-02-28T05:15:39Z | |
| dc.date.available | 2018-02-28T05:15:39Z | |
| dc.date.issued | 2006 | |
| dc.identifier.citation | Badawi, A. (2006). On phi-Mori rings. Houston journal of mathematics, 32(1), 1-32. | en_US |
| dc.identifier.issn | 0362-1588 | |
| dc.identifier.uri | http://hdl.handle.net/11073/9224 | |
| dc.description.abstract | A commutative ring R is said to be a phi-ring if its nilradical Nil(R) is both prime and comparable with each principal ideal. The name is derived from the natural map phi from the total quotient ring T(R) to R localized at Nil(R). An ideal I that properly contains Nil(R) is phi-divisorial if (phi(R): (phi(R):phi(I)))=phi(I). A ring is a phi-Mori ring if it is a phi-ring that satisfies the ascending chain condition on phi-divisorial ideals. Many of the properties and characterizations of Mori domains can be extended to phi-Mori rings, but some cannot. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | University of Houston | en_US |
| dc.relation.uri | http://www.math.uh.edu/~hjm/Vol32-1.html | en_US |
| dc.title | On phi-Mori rings | en_US |
| dc.type | Article | en_US |
| dc.type | Published version | en_US |
| dc.type | Peer-Reviewed | en_US |
