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On strongly $φ$-$w$-Flat modules and Their Homological Dimensions (2302.00991v2)

Published 2 Feb 2023 in math.AC

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

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