Two New Types of Rings Constructed from Quasiprime Ideals
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 ty...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/473413 |
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| _version_ | 1832549782689677312 |
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| author | Manal Ghanem Hassan Al-Ezeh |
| author_facet | Manal Ghanem Hassan Al-Ezeh |
| author_sort | Manal Ghanem |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-41bd009892cd4aecaa831f4e45105d94 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-41bd009892cd4aecaa831f4e45105d942025-02-03T06:08:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/473413473413Two New Types of Rings Constructed from Quasiprime IdealsManal Ghanem0Hassan Al-Ezeh1Department of Mathematics, Irbid National University, Irbid 21110, JordanDepartment of Mathematics, Jordan University, Amman 11942, JordanKeigher 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.http://dx.doi.org/10.1155/2011/473413 |
| spellingShingle | Manal Ghanem Hassan Al-Ezeh Two New Types of Rings Constructed from Quasiprime Ideals International Journal of Mathematics and Mathematical Sciences |
| title | Two New Types of Rings Constructed from Quasiprime Ideals |
| title_full | Two New Types of Rings Constructed from Quasiprime Ideals |
| title_fullStr | Two New Types of Rings Constructed from Quasiprime Ideals |
| title_full_unstemmed | Two New Types of Rings Constructed from Quasiprime Ideals |
| title_short | Two New Types of Rings Constructed from Quasiprime Ideals |
| title_sort | two new types of rings constructed from quasiprime ideals |
| url | http://dx.doi.org/10.1155/2011/473413 |
| work_keys_str_mv | AT manalghanem twonewtypesofringsconstructedfromquasiprimeideals AT hassanalezeh twonewtypesofringsconstructedfromquasiprimeideals |