Separable torsion-free modules with UA-rings of endomorphisms.

DOI10.3103/S1066369X15060079zbMath1339.20047OpenAlexW603462422MaRDI QIDQ2516842

D. S. Chistyakov

Publication date: 4 August 2015

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x15060079

zbMATH Keywords

endomorphism ringsunique addition ringsrings with unique additiontorsion-free separable modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure, classification theorems for modules and ideals in commutative rings (13C05) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (1)

UA-properties of modules over commutative Noetherian rings

Cites Work

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• Homogeneous maps of Abelian groups.
• Periodic Abelian groups with UA-rings of endomorphisms
• Abelian groups as UA-modules over the ring \(\mathbb{Z}\).
• Abelian groups as UA-modules over their endomorphism ring.
• On Rings for which Homogeneous Maps are Linear
• MULTIPLICATIVE CLASSIFICATION OF ASSOCIATIVE RINGS
• Unique addition modules
• Unique Addition Rings

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