Let $R$ and $S$ be rings, $C= {}_SC_R$ a faithfully semidualizing bimodule, and $m$ a non-negative integer. In this paper, we present some homological properties relative to the class of $R$-modules of $C$-weak injective dimension at most $m$ and the class of $S$-modules of $C$-weak flat dimension at most $m$. We introduce and study weak cotorsion modules with respect to $m$ and $C$ by using the class of modules of $C$-weak flat dimension at most $m$.
Amini, M., Vahidi, A., & Chamani, E. (2024). Weak cotorsion modules with respect to an integer and a semidualizing bimodule. Journal of Algebra and Related Topics, (), -. doi: 10.22124/jart.2024.26049.1604
MLA
M. Amini; A. Vahidi; E. Chamani. "Weak cotorsion modules with respect to an integer and a semidualizing bimodule". Journal of Algebra and Related Topics, , , 2024, -. doi: 10.22124/jart.2024.26049.1604
HARVARD
Amini, M., Vahidi, A., Chamani, E. (2024). 'Weak cotorsion modules with respect to an integer and a semidualizing bimodule', Journal of Algebra and Related Topics, (), pp. -. doi: 10.22124/jart.2024.26049.1604
VANCOUVER
Amini, M., Vahidi, A., Chamani, E. Weak cotorsion modules with respect to an integer and a semidualizing bimodule. Journal of Algebra and Related Topics, 2024; (): -. doi: 10.22124/jart.2024.26049.1604