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On 1-w-cotorsion modules and Prüfer v-multiplication domains

    https://doi.org/10.1142/S0219498826501288Cited by:0 (Source: Crossref)

    In this paper, 1-w-cotorsion modules are introduced and studied. It is shown that an integral domain R is a PVMD if and only if 1-w-cotorsion R-modules are injective if and only if all 1-w-cotorsion R-modules are w-FP-injective.

    Communicated by Yiqiang Zhou

    AMSC: 13D07, 13F05, 13G05