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Relative finitistic projective and injective dimensions
Yuzhen Wei, Xi Tang
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Recollements of derived categories III: finitistic dimensions [PDF]
Hong Xing Chen, Chang Chang Xi
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Finitistic weak dimensions of pullbacks
Journal of Pure and Applied Algebra, 2020Let \(R\) be a commutative integral domain and \(K\) its quotient field with \(R\ne K\). A prime ideal \(P\) of \(R\) is called \textit{strongly prime} if, for any \(x,y\in K\setminus P\), \(xy\notin P\). The ring \(R\) is said to be a \textit{pseudo-valuation} domain if each of its prime ideals is strongly prime. It is proven that FFD(\(R\))\(\leq 2\),
Wang, Fanggui, Kim, Hwankoo, Xiong, Tao
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Finitistic dimensions of ring extensions
Communications in Algebra, 1982(1982). Finitistic dimensions of ring extensions. Communications in Algebra: Vol. 10, No. 9, pp. 993-1001.
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On Finitistic Flat Dimension of Rings and Schemes
Bulletin of the Iranian Mathematical Society, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bagherian, Roghayeh, Hosseini, Esmaeil
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Generalized Igusa–Todorov function and finitistic dimensions
Archiv der Mathematik, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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THE FINITISTIC DIMENSION AND CHAIN CONDITIONS ON IDEALS
Glasgow Mathematical Journal, 2020AbstractLet Λ be an artin algebra and $0=I_{0}\subseteq I_{1} \subseteq I_{2}\subseteq\cdots \subseteq I_{n}$ a chain of ideals of Λ such that $(I_{i+1}/I_{i})\rad(\Lambda/I_{i})=0$ for any $0\leq i\leq n-1$ and $\Lambda/I_{n}$ is semisimple. If either none or the direct sum of exactly two consecutive ideals has infinite projective dimension, then the ...
Zheng, Junling, Huang, Zhaoyong
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Finitistic dimension of standardly stratified algebras
Communications in Algebra, 2000We prove that the projectively and the injectively defined finitistic dimensions of a standardly stratified algebra are always finite by giving the optimal bound for these numbers in terms of the number of simple modules.
István Ágoston +3 more
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A note on the finitistic dimension conjecture
Communications in Algebra, 1994(1994). A note on the finitistic dimension conjecture. Communications in Algebra: Vol. 22, No. 7, pp. 2525-2528.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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