The Weak (Gorenstein) Global Dimension of Coherent Rings with Finite Small Finitistic Projective Dimension

Khaled Alhazmy, Fuad Ali Ahmed Almahdi, Younes El Haddaoui, Najib Mahdou and R. Sundareswaran

Journal of Mathematics, 2024, vol. 2024, 1-7

Abstract: The small finitistic dimension of a ring is determined as the supremum projective dimensions among modules with finite projective resolutions. This paper seeks to establish that, for a coherent ring R with a finite weak (resp. Gorenstein) global dimension, the small finitistic dimension of R is equal to its weak (resp. Gorenstein) global dimension. Consequently, we conclude some new characterizations for (Gorenstein) von Neumann and semihereditary rings.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4896819

DOI: 10.1155/2024/4896819

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