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- W4256570451 abstract "We study the factorization of ideals of a commutative ring, defining multiple different kinds of “nonfactorable” ideals and several “factorability” properties weaker than unique factorization. We characterize (some of) these notions, determine the implications between them, and give several examples to illustrate the differences. We also examine how these properties behave with respect to localization, direct products, idealizations, polynomial rings, monoid domains, (generalized) power series rings, and the classical D + M construction. Along the way, we give some new characterizations of the finite superideal rings introduced by A.J. Hetzel and A.M. Lawson." @default.
- W4256570451 created "2022-05-12" @default.
- W4256570451 creator A5005758642 @default.
- W4256570451 creator A5034228887 @default.
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- W4256570451 date "2019-02-11" @default.
- W4256570451 modified "2023-09-27" @default.
- W4256570451 title "Factorization of ideals" @default.
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- W4256570451 doi "https://doi.org/10.1080/00927872.2018.1517359" @default.
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