Characterizations of cancellable groups

DOI10.1090/proc/14546OpenAlexW2964275744WikidataQ127946431 ScholiaQ127946431MaRDI QIDQ5223184

Matthew Harrison-Trainor, Meng-Che Ho

Publication date: 17 July 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07191

Mathematics Subject Classification ID

Applications of computability and recursion theory (03D80) Direct sums, direct products, etc. for abelian groups (20K25) Abelian groups (20Kxx)

Related Items (1)

On a theorem of Stelzer for some classes of mixed groups

Cites Work

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• Krull-Schmidt and cancellation over local rings
• Finite rank torsion free Abelian groups and rings
• The cancellation of torsion abelian groups in direct sums
• Stable range in commutative rings
• COMPUTABLE STRUCTURES IN GENERIC EXTENSIONS
• The Complement of a Finitely Generated Direct Summand of an Abelian Group
• Cancellation in Direct Sums of Groups
• Modules Over a Complete Discrete Valuation Ring
• Theorems on Direct Sums of Modules
• The decomposability problem for torsion-free abelian groups is analytic-complete
• Modules Over Dedekind Rings and Valuation Rings

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