scientific article
From MaRDI portal
Publication:4039792
zbMath0634.03025MaRDI QIDQ4039792
Publication date: 5 June 1993
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Model-theoretic algebra (03C60) Projective and free modules and ideals in commutative rings (13C10) Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations (03-02) Applications of logic to commutative algebra (13L05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Classification theory, stability, and related concepts in model theory (03C45) Axiomatic model classes (08C10) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Injective and flat modules and ideals in commutative rings (13C11)
Related Items
Saturated free algebras and almost indiscernible theories, The Krull-Gabriel dimension of cycle-finite Artin algebras, On homological dimensions in some functor categories, Nilpotence, radicals and monoidal structures. With an appendix by Peter O'Sullivan., Applications of duality to the pure-injective envelope., Gelfand-Ponomarev and Herrmann constructions for quadruples and sextuples, The theory of modules of separably closed fields. II., Torsion pairs and cosilting in type \(\tilde{A}\), Finite matrix topologies., Canonical and existential groups in universal classes of abelian groups, Model-theoretic imaginaries and coherent sheaves, Deissler rank complexity of powers of indecomposable injective modules, When are definable classes tilting and cotilting classes?, Modules with chain conditions for finite matrix subgroups, WHEN ARE PURE-INJECTIVE ENVELOPES OF FLAT MODULES FLAT?, Some criteria of cyclically pure injective modules, Abelian groups \(\aleph_ 0\)-categorical over a subgroup, Decidability for modules over a group ring - II, Model theory of functors: Axiomatizability problems, Approximations and Mittag-Leffler conditions the tools, The Auslander-Gruson-Jensen recollement, Some preservation of stability of modules, The Ziegler spectrum for derived-discrete algebras, Mittag-Leffler modules, Vapnik-Chervonenkis density in some theories without the independence property. II, Dp-finite fields. I(B): Positive characteristic, An Artin problem for division ring extensions and the pure semisimplicity conjecture. I, Sobriety for the Ziegler spectrum of a Prüfer domain, On Krull-Gabriel dimension and Galois coverings, Measurability in modules, Purity in compactly generated derivators and t-structures with Grothendieck hearts, Representation embeddings, interpretation functors and controlled wild algebras, VALUED MODULES OVER SKEW POLYNOMIAL RINGS I, On pp-elimination and stability in a continuous setting, Grothendieck categories of enriched functors, Remarks about the history of Abelian groups in England and Germany., A model theoretic solution to a problem of László Fuchs, Rings whose pure-injective right modules are direct sums of lifting modules., Ziegler spectra of serial rings, Pseudo-linear algebra over a division ring, Non-totally transcendental unidimensional theories, Superstability, Noetherian rings and pure-semisimple rings, Purity in categories of sheaves, Model-theoretic properties of free, projective, and flat \(S\)-acts, Valued difference fields and \(\mathrm{NTP}_2\), Forking independence from the categorical point of view, On von Neumann regular rings with an automorphism, Quantifier elimination in linear difference equations over Witt vectors, Kaplansky test problem for \(R\)-modules, Strict Mittag-Leffler modules and purely generated classes, Telescope conjecture, idempotent ideals, and the transfinite radical, Grothendieck rings of theories of modules, Krull–Gabriel dimension of domestic string algebras, Unnamed Item, \(^{\perp}N\) as an abstract elementary class, Countable models of 1-based theories, The countable telescope conjecture for module categories., Quantifier elimination for modules with scalar variables, Elementary Duality of Modules, Pseudo-absorbing multiplication modules over a pullback ring, Vaught's conjecture for superstable theories of finite rank, Unidimensional modules: Uniqueness of maximal non-modular submodels, Remarks on elementary duality, On the decidability of the theory of modules over the ring of algebraic integers, The torsion-free part of the Ziegler spectrum of the Klein four group, On central extensions and definably compact groups in o-minimal structures, Structure sheaves of definable additive categories, Some new results on decidability for elementary algebra and geometry, Decomposing moduli of representations of finite-dimensional algebras, Vapnik-Chervonenkis density in some theories without the independence property, I, Contravariant functors on the category of finitely presented modules., Comultiplication modules over a pullback of Dedekind domains, Abstract elementary classes induced by tilting and cotilting modules have finite character, Minimal modules over Prüfer rings, The Auslander-Reiten formula on finitely presented functor categories, Definable additive categories: purity and model theory, Canonical and algebraically closed groups in universal classes of abelian groups, On 2-absorbing multiplication modules over pullback rings, Totally transcendental theories of modules: Decomposition of models and types, \(\Sigma\)-injective modules over left duo and left distributive rings, Exactly definable categories, Monoids with decidable and undecidable classes of polygons, Some precovers and preenvelopes in functor categories, Bézout domains and lattice-valued modules, Tame expansions of \({\omega}\)-stable theories and definable groups, Strict Mittag-Leffler modules, Model companions of quasivarieties of polygons, Generic structures and simple theories, Injective minimal modules, Finite length and pure-injective modules over a ring of differential operators, Exponentiations over the quantum algebra \(U_q(\mathrm{sl}_2(\mathbb{C}))\), Strongly simply connected algebras with super-decomposable pure-injective modules, Notes on several orthogonal classes of flat and \(FP\)-injective functors, Towards formal Baer criteria, On pairs of free modules over a Dedekind domain, On the distribution of \(\{{x\over n}\}\), Cotorsion theories and splitters, Serial functors, Jacobson radical and representation type., Characterizing categoricity in several classes of modules, Super-decomposable pure-injective modules over algebras with strongly simply connected Galois coverings, Maranda’s theorem for pure-injective modules and duality, Classification of 1-absorbing comultiplication modules over a pullback ring, Unnamed Item, Unnamed Item, Unnamed Item, On Covers and Envelopes in Some Functor Categories, On universal modules with pure embeddings, Euclidean algorithm for a class of linear orders, Burden in Henselian valued fields, Characterisations of ${\varSigma }$-pure-injectivity in triangulated categories and applications to endocoperfect objects, The model theory of commutative near-vector spaces, Pseudo-absorbing comultiplication modules over a pullback ring, On wild algebras and super-decomposable pure-injective modules, Rings whose modules satisfy chain conditions on essential endosubmodules, Notes on model theory of modules over Dedekind domains, A note on torsion modules with pure embeddings, Unnamed Item, Unnamed Item, Axiomatizability of homological classes of semimodules over semirings, The Schröder-Bernstein property for 𝑎-saturated models, Spectra of the \(\Gamma\)-invariant of uniform modules, Modules with few types over a commutative valuation ring, A fresh look into skew inverse Laurent series rings, On superstability in the class of flat modules and perfect rings, Modules as exact functors, Left determined morphisms and free realisations, Describing models of Th(ℤ) in adelic terms, Valued modules on skew polynomial rings and Bézout domains, Multisorted modules and their model theory, Mittag-Leffler modules and definable subcategories, Decidability and modules over Bézout domains, SOME STABLE NON-ELEMENTARY CLASSES OF MODULES
