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http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/11462| Title: | Maximal non-ϕ-pseudo-valuation rings |
| Authors: | Kumar, Rahul |
| Keywords: | Mathematics Maximal non-ϕ-PVR Maximal non-local rings Maximal non-PVR ϕ-PVR |
| Issue Date: | 2022 |
| Publisher: | World Scientific |
| Abstract: | The notion of maximal non-ϕ-pseudo-valuation ring is introduced which generalizes the concept of maximal non-pseudo-valuation domain. The equivalence of maximal non-ϕ-PVR and maximal non-local ring is established under some conditions. The concept of maximal non-PVR is also introduced and it is shown that a maximal non-PVR is either a ϕ-PVR or a maximal non-ϕ-PVR. Examples are also given to show that all the introduced concepts are independent of each other, in general. |
| URI: | https://www.worldscientific.com/doi/abs/10.1142/S0219498822500906 http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11462 |
| Appears in Collections: | Department of Mathematics |
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