On superstability in the class of flat modules and perfect rings
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Publication:4985397
DOI10.1090/proc/15359OpenAlexW3107009054MaRDI QIDQ4985397
Publication date: 23 April 2021
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.08389
Model-theoretic algebra (03C60) Noncommutative local and semilocal rings, perfect rings (16L30) Applications of logic to commutative algebra (13L05) Classification theory, stability, and related concepts in model theory (03C45) General module theory in associative algebras (16D10) Applications of logic in associative algebras (16B70) Abstract elementary classes and related topics (03C48)
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Cites Work
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- Superstability and symmetry
- Superstability from categoricity in abstract elementary classes
- Counting models in universal Horn classes
- Sigma-cotorsion rings.
- Infinite Abelian groups and homological methods
- Model-theoretic aspects of \(\Sigma\)-cotorsion modules
- A non structure theorem for an infinitary theory which has the unsuperstability property
- Model theory of modules
- Injective and flat covers, envelopes and resolvents
- Categoricity for abstract classes with amalgamation
- Toward categoricity for classes with no maximal models
- The Schröder-Bernstein problem for modules
- Forking independence from the categorical point of view
- Flat covers of modules
- A model theoretic solution to a problem of László Fuchs
- Superstability, Noetherian rings and pure-semisimple rings
- Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules
- The categoricity spectrum of large abstract elementary classes
- Algebraic description of limit models in classes of abelian groups
- Universal structures
- Categoricity in abstract elementary classes with no maximal models
- Modules which are isomorphic to submodules of each other
- Stable theories
- Uniqueness of limit models in classes with amalgamation
- ALL MODULES HAVE FLAT COVERS
- Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
- Indiscernible sequences in a model which fails to have the order property
- WHEN COTORSION MODULES ARE PURE INJECTIVE
- Decomposition of totally transcendental modules
- WHEN ARE PURE-INJECTIVE ENVELOPES OF FLAT MODULES FLAT?
- Toward a stability theory of tame abstract elementary classes
- EQUIVALENT DEFINITIONS OF SUPERSTABILITY IN TAME ABSTRACT ELEMENTARY CLASSES
- UNIVERSAL CLASSES NEAR ${\aleph _1}$
- Tameness and extending frames
- GALOIS-STABILITY FOR TAME ABSTRACT ELEMENTARY CLASSES
- Definability problems for modules and rings
- On universal modules with pure embeddings