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

• Datum: 2026
• Hauptverfasser: Kim, Hwankoo, Mahdou, Najib, Oubouhou, El Houssaine
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8299
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...