Unique addition modules

DOI10.1080/00927879908826687zbMath0945.16007OpenAlexW2107853254MaRDI QIDQ4262365

Brink van der Merwe

Publication date: 3 October 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826687

zbMATH Keywords

fields of fractionsintegral domainsprincipal ideal domainstorsion-free modulescommutative Artinian ringsfinitely generated unique addition modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items (15)

UA-properties of modules over commutative Noetherian rings ⋮ О КОЛЬЦЕВЫХ СТРУКТУРАХ НА МНОЖЕСТВЕ ЦЕЛЫХ ЧИСЕЛ ⋮ ОДНОРОДНЫЕ ОТОБРАЖЕНИЯ СМЕШАННЫХ МОДУЛЕЙ ⋮ Abelian groups as UA-modules over their endomorphism ring. ⋮ Torsion-free Abelian groups of finite rank as endomorphic modules over their endomorphism ring. ⋮ Abelian groups as UA-modules over the ring \(\mathbb{Z}\). ⋮ Homogeneous maps of Abelian groups. ⋮ Modules over discrete valuation domains. III ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Modules over discrete valuation domains. I ⋮ On the UA-properties of abelian \(sp\)-groups and their endomorphism rings ⋮ On homogeneous mappings of finitely presented modules over the ring of polyadic numbers ⋮ Separable torsion-free modules with UA-rings of endomorphisms. ⋮ Modules over discrete valuation domains. II

Cites Work

• Injective modules over Noetherian rings
• Unique Addition Rings
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