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Commun. Korean Math. Soc. 2023; 38(1): 97-112
Online first article December 6, 2022 Printed January 31, 2023
https://doi.org/10.4134/CKMS.c220016
Copyright © The Korean Mathematical Society.
The $u$-$S$-weak global dimensions of commutative rings
Xiaolei Zhang
Shandong University of Technology
In this paper, we introduce and study the $u$-$S$-weak global dimension $u$-$S$-w.gl.dim$(R)$ of a commutative ring $R$ for some multiplicative subset $S$ of $R$. Moreover, the $u$-$S$-weak global dimensions of factor rings and polynomial rings are investigated.
Keywords: $u$-$S$-flat module, $u$-$S$-flat dimension, $u$-$S$-weak global dimension, polynomial ring
MSC numbers: 13D05, 13D07, 13B25
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