# Injective stabilization of additive functors. II. (Co)torsion and the Auslander-Gruson-Jensen functor

@article{Martsinkovsky2020InjectiveSO, title={Injective stabilization of additive functors. II. (Co)torsion and the Auslander-Gruson-Jensen functor}, author={Alex Martsinkovsky and Jeremy Russell}, journal={Journal of Algebra}, year={2020} }

## 8 Citations

High and Low Formulas in Modules

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A partition of the set of unary pp formulas into four regions is presented, which has a bearing on various structural properties of modules. The machinery developed allows for applications to IF,…

Homological algebra in degree zero.

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The term "homological algebra in degree zero" refers, in the narrow sense of the word, to calculation of the zeroth derived functor of an additive functor between abelian categories. Most people do…

A Constructive Approach to Freyd Categories

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A constructive approach to finitely presented functors that subsumes and enhances the standard approach tofinitely presented modules in computer algebra.

Implications of positive formulas in modules (RIMS)

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In this survey the role of implications of positive formulas -- finitary and infinitary -- is dicussed, in general and in module categories, where they seem of particular importance. A list of…

C T ] 1 0 D ec 2 01 7 A CONSTRUCTIVE APPROACH TO FREYD CATEGORIES

- Mathematics, Computer Science
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In this paper we give an algorithmic description of Freyd categories that subsumes and enhances the usual approach to finitely presented modules in computer algebra. The upshot is a constructive…

Integer solutions of implicit linear difference equations of the second order.

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References 1. S. Hefter,V. Martseniuk, and O. Piven, Integer solutions of a second order implicit linear difference equation, Bukovinian Mathematical Journal, 6, 3-4 2018, 40–46. 2. V. Martseniuk, S.…

A note on torsion modules with pure embeddings

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We study Martsinkovsky-Russell torsion modules [MaRu20] with pure embeddings as an abstract elementary class. We give a model-theoretic characterization of the pureinjective and the Σ-pure-injective…

SOME STABLE NON-ELEMENTARY CLASSES OF MODULES

- MathematicsThe Journal of Symbolic Logic
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Fisher [Fis75] and Baur [Bau75] showed independently in the seventies that for any $T$ a complete first-order theory extending the theory of modules, $(Mod(T), \leq_p)$ is stable. In [Maz4, 2.12], it…

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