Classification theory for abelian groups with an endomorphism

DOI10.1007/BF01387762zbMath0723.03020OpenAlexW2076105251MaRDI QIDQ757352

Carlo Toffalori, Annalisa Marcja, M. Y. Prest

Publication date: 1991

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01387762

zbMATH Keywords

classificationautomorphismwild representation typeAbelian groups with an endomorphismsuperstable K[x- modules]Z[x-modules]

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Structure and classification of infinite or finite groups (20E99) Classification theory, stability, and related concepts in model theory (03C45)

Related Items

A further glance at classifiable 1-ary functions, Decidability and modules over Bézout domains

Cites Work

• Model theory of modules
• The indecomposable representations of the dihedral 2-groups
• Classification theory and the number of non-isomorphic models
• On four subspaces of a vector space
• Magidor-Malitz quantifiers in modules
• On Tame Algebras and Bocses
• The elementary theory of abelian groups
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