SP-domains are almost Dedekind --- a streamlined proof

Ahmed, Malik Tusif

doi:10.7151/dmgaa.1320

Discuss. Math. - General Algebra and Applications

2020

DOI: 10.7151/dmgaa.1320

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SP-domains are almost Dedekind --- a streamlined proof

Malik Tusif Ahmed¹

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Commutative rings with invertible-radical factorization

2021

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In this paper, we study the classes of rings in which every proper (regular) ideal can be factored as an invertible ideal times a nonempty product of proper radical ideals. More precisely, we investigate the stability of these properties under homomorphic image and their transfer to various contexts of constructions such as direct product, trivial ring extension and amalgamated duplication of a ring along an ideal. Our results generate examples that enrich the current literature with new and original families of rings satisfying these properties.

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Commutative rings with invertible-radical factorization

2021

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SP-domains are almost Dedekind --- a streamlined proof

Cited by 1 publication

References 2 publications

Commutative rings with invertible-radical factorization

Commutative rings with invertible-radical factorization

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