Affiliation:
1. Department of Mathematics, University of Jordan, Amman, Jordan
Abstract
For a commutative ring with unityR, it is proved thatRis aPF-ring if and only if the annihilator,annR(a), for eacha ϵ Ris a pure ideal inR, Also it is proved that the polynomial ring,R[X], is aPF-ring if and only ifRis aPF-ring. Finally, we prove thatRis aPP-ring if and only ifR[X]is aPP-ring.
Subject
Mathematics (miscellaneous)
Cited by
12 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Some Results of Malcev-Neumann Rings;International Journal of Analysis and Applications;2024-02-27
2. The pure spectrum of a residuated lattice;Fuzzy Sets and Systems;2023-10
3. Mp- and purified residuated lattices;Soft Computing;2022-10-28
4. Strongly Hopfian, Endo-Noetherian, and Isonoetherian Rings;Chain Conditions in Commutative Rings;2022
5. Rickart residuated lattices;Soft Computing;2021-09-06