A characterization of large Dedekind domains

Oman, Greg

doi:10.1007/s00013-020-01443-6

Arch. Math.

2020

DOI: 10.1007/s00013-020-01443-6

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A characterization of large Dedekind domains

Greg Oman

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2020

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Modules whose submodule lattice is lower finite

Harmon

Oman

2020

J. Algebra Appl.

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A bounded poset [Formula: see text] is said to be lower finite if [Formula: see text] is infinite and for all [Formula: see text], there are but finitely many [Formula: see text] such that [Formula: see text] In this paper, we classify the modules [Formula: see text] over a commutative ring [Formula: see text] with identity with the property that the lattice [Formula: see text] of [Formula: see text]-submodules [Formula: see text] (under set-theoretic containment) is lower finite. Our results are summarized in Theorem 3.1 at the end of this note.

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Modules whose submodule lattice is lower finite

Harmon

Oman

2020

J. Algebra Appl.

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A characterization of large Dedekind domains

Cited by 1 publication

References 4 publications

Modules whose submodule lattice is lower finite

Modules whose submodule lattice is lower finite

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