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In the same sprit, we define and study two new types of differential rings which lead to the mirrors of the corresponding\nresults on von Neumann regular rings and principally flat rings (PF\u2010rings) in commutative rings, especially, for rings of positive characteristic.<\/jats:p>","DOI":"10.1155\/2011\/473413","type":"journal-article","created":{"date-parts":[[2011,5,10]],"date-time":"2011-05-10T19:33:06Z","timestamp":1305055986000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Two New Types of Rings Constructed from Quasiprime Ideals"],"prefix":"10.1155","volume":"2011","author":[{"given":"Manal","family":"Ghanem","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hassan","family":"Al-Ezeh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,5,10]]},"reference":[{"key":"e_1_2_5_1_2","series-title":"Series in Algebra","volume-title":"Ring Constructions and Applications","author":"Kelarev A. 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