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Ordered algebraic structures --- Modulen (Algebra) --- Modules (Algebra) --- Modules (Algebre)
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Anneaux (Algèbre) --- Modulen (Algebra) --- Modules (Algebra) --- Modules (Algebre) --- Ringen (Algebra) --- Rings (Algebra) --- RINGS (Algebra)
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Toposes --- Rings (Algebra) --- Modules (Algebra) --- Topos (mathématiques) --- Anneaux (algèbre) --- Modules (algèbre)
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Ordered algebraic structures --- Rings (Algebra) --- Modules (Algebra) --- Anneaux (Algèbre) --- Modules (Algèbre) --- Modules (Algebra). --- Rings (Algebra). --- Anneaux (Algèbre) --- Modules (Algèbre) --- Algèbres commutatives
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Ordered algebraic structures --- Ideals (Algebra) --- Modules (Algebra) --- Rings (Algebra) --- Idéaux (Algèbre) --- Modules (Algèbre) --- Anneaux (Algèbre) --- Idéaux (Algèbre) --- Modules (Algèbre) --- Anneaux (Algèbre)
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The notions of torsion and torsion freeness have played a very important role in module theory--particularly in the study of modules over integral domains. Furthermore, the use of homological techniques in this connection has been well established. It is the aim of this paper to extend these techniques and to show that this extension leads naturally to several new concepts (e.g. k-torsion freeness and Gorenstein dimension) which are useful in the classification of modules and rings.
Ordered algebraic structures --- Modules (Algebra) --- Modules (algèbre) --- Torsion theory (Algebra) --- Torsion, Théorie de la (algèbre) --- Homology theory --- Cohomologie. --- Homologie. --- Rings (Algebra) --- Anneaux (algèbre) --- Noetherian rings. --- Gorenstein rings. --- Commutative rings. --- Modules (Algebra). --- Rings (Algebra).
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Ordered algebraic structures --- Associative rings --- Commutative rings --- Modules (Algebra) --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings (Algebra) --- Associative rings. --- Commutative rings. --- Modules (Algebra). --- Anneaux associatifs. --- Anneaux commutatifs. --- Modules (algèbre)
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Ordered algebraic structures --- Algèbres de Lie --- Lie [Algebra's van ] --- Lie algebras --- Modulen (Algebra) --- Modules (Algebra) --- Modules (Algebre) --- Representations of algebras --- Algebra --- Finite number systems --- Modular systems (Algebra) --- Finite groups --- Rings (Algebra) --- Algebras, Lie --- Algebra, Abstract --- Algebras, Linear --- Lie groups
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