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On S-(h-)divisible modules and their S-strongly flat covers (2509.01045v1)

Published 1 Sep 2025 in math.AC

Abstract: It was proved in [3] that every h-divisible modules admits an strongly flat cover over all integral domains; and every divisible module over an integral domain R admits a strongly flat cover if and only if R is a Matlis domain. In this paper, we extend these two results to commutative rings with multiplicative subsets.

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