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- W4282930157 abstract "Let M be a torsion-free module over an integral domain D. We define a concept of a unique factorization module in terms of v-submodules of M. If M is a unique factorization module (UFM), then D is a unique factorization domain. However, the converse situation is not necessarily to be held, and we give four different characterizations of unique factorization modules. Further, it is shown that the concept of the UFM is equivalent to Nicolas’s UFM, which is defined in terms of irreducible elements of D and M." @default.
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- W4282930157 date "2022-06-14" @default.
- W4282930157 modified "2023-10-01" @default.
- W4282930157 title "On Unique Factorization Modules: A Submodule Approach" @default.
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- W4282930157 doi "https://doi.org/10.3390/axioms11060288" @default.
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