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Maximal non-ϕ-pseudo-valuation rings
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2021-01-25 , DOI: 10.1142/s0219498822500906 Rahul Kumar 1 , Atul Gaur 1
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2021-01-25 , DOI: 10.1142/s0219498822500906 Rahul Kumar 1 , Atul Gaur 1
Affiliation
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.
中文翻译:
最大非 φ-伪估值环
最大非的概念φ 引入了伪估值环,它概括了最大非伪估值域的概念。最大非等价φ -PVR 和最大非局部环是在某些条件下建立的。还引入了最大非 PVR 的概念,并表明最大非 PVR 要么是φ -PVR 或最大非φ -PVR。还给出了示例以表明所有引入的概念通常是相互独立的。
更新日期:2021-01-25
中文翻译:
最大非 φ-伪估值环
最大非的概念