On strongly $\varphi$-$w$-Flat modules and Their Homological Dimensions

Abstract

In this paper, we introduce and study the notion of strongly $\varphi$-$w$-flat modules. The $\varphi$-$w$-weak global dimension $\varphi$-$w$-w.gl.dim$(R)$ of an NP-ring $R$ is also introduced and studied. We characterize $\varphi$-\Prufer\ $v$-multiplication strongly $\varphi$-rings in terms of strongly $\varphi$-$w$-flat modules.

arXiv admin note: substantial text overlap with arXiv:2107.12643, arXiv:2211.14681