The $\phi$-weak dimension of $\phi$-pseudo-valuation rings

UDC 512.5 It is shown that, for a strongly $\phi$-pseudo-valuation ring, which is nonnil-coherent, the only possible values of the $\phi$-weak global dimension are 0, 1, and $\infty.$ We then provide necessary and sufficient conditions for a strongly $\phi$-pseudo-valuation ring to be nonnil-coheren...

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Bibliographic Details
Date:2026
Main Authors: Kim, Hwankoo, Mahdou, Najib, Oubouhou, El Houssaine
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2026
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8299
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal