Model theory of functors: Axiomatizability problems
type: Item
instance of: scholarly article
title: Model theory of functors: Axiomatizability problems
zbMATH Open document ID: 0947.03053
DOI: 10.1016/S0022-4049(96)00031-X
author: Yefim Katsov
published in: Journal of Pure and Applied Algebra
publication date: 2000-11-07T00:00:00Z
Mathematics Subject Classification ID: 03C60
Mathematics Subject Classification ID: 18A25
Mathematics Subject Classification ID: 18E05
Mathematics Subject Classification ID: 03C07
zbMATH DE Number: 1038606
zbMATH Keywords: small preadditive categories
zbMATH Keywords: functor categories
zbMATH Keywords: axiomatizability
zbMATH Keywords: abelian-group-valued functors
zbMATH Keywords: additive functors
zbMATH Keywords: flat functors
zbMATH Keywords: projective functors
zbMATH Keywords: injective functors
zbMATH Keywords: many-sorted model theory
MaRDI profile type: Publication
cites work: Model theory
cites work: Direct Products of Modules
cites work: Model-completions and modules
cites work: Q5682108
cites work: Q4101984
cites work: Q5572358
cites work: Perfect categories. I
cites work: Perfect categories. IV: Quasi-Frobenius categories
cites work: Q5639839
cites work: Q3281067
cites work: Q5682023
cites work: Rings with several objects
cites work: Some applications of module theory to functor categories
cites work: Flat and coherent functors
cites work: Q4039792
cites work: Definability problems for modules and rings
cites work: Die Zulässigkeit der Behandlung mehrsortiger Theorien mittels der üblichen einsortigen Prädikatenlogik
cites work: Q5666704
cites work: Q4093626
cites work: On colimits of injectives in Grothendieck categories
cites work: Q3208634
cites work: Purity in functor categories
Recommended article: Model theory under the axiom of determinateness
Recommended article: Q5354807
Recommended article: Q3835448
Recommended article: Q5310880
Recommended article: Q4133970
Recommended article: A Functorial Model Theory
Recommended article: MODEL THEORY AND ULTRAPRODUCTS
Recommended article: Some algebraic problems in the context of functorial semantics of algebraic theories
Recommended article: Q4381410
Recommended article: Model theory of modules
description: scientific article; zbMATH DE number 1038606