On -weak global dimensions of commuative rings
X Zhang, N Bian, RAK Assaad, W Qi - arXiv preprint arXiv:2304.09323, 2023 - arxiv.org
In this paper, the $\tau_q $-weak global dimension $\tau_q $-\cwd $(R) $ of a commutative
ring $ R $ is introduced. Rings with $\tau_q $-weak global dimension equal to $0 $ are …
ring $ R $ is introduced. Rings with $\tau_q $-weak global dimension equal to $0 $ are …
On -projectivity and -simplicity
X Zhang - arXiv preprint arXiv:2302.04560, 2023 - arxiv.org
In this paper, we first introduce and study the notion of $\tau_q $-projective modules via
strongly Lucas modules, and then investigate the $\tau_q $-global dimension $\tau_q $-\gld …
strongly Lucas modules, and then investigate the $\tau_q $-global dimension $\tau_q $-\gld …
On -flatness and -coherence
X Zhang, W Qi - arXiv preprint arXiv:2111.03417, 2021 - arxiv.org
In this paper, we introduce and study the notions of $\tau_q $-flat modules and $\tau_q $-
coheret rings. First, by investigating the Nagata rings of $\tau_q $-torsion theory, we show …
coheret rings. First, by investigating the Nagata rings of $\tau_q $-torsion theory, we show …