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Commutative algebra. --- Commutative rings. --- Rings (Algebra).
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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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Rings (Algebra) --- Modules (Algebra) --- Anneaux (Algèbre) --- Modules (Algèbre)
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Numbers, Prime --- Rings (Algebra) --- Nombres premiers --- Anneaux (Algèbre)
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Ordered algebraic structures --- 512.55 --- Modules (Algebra) --- Rings (Algebra) --- #KOPO:Prof. R. Holvoet --- Algebraic rings --- Ring theory --- Algebraic fields --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings and modules --- Rings (Algebra). --- Modules (Algebra). --- 512.55 Rings and modules --- Liver --- Liver cells --- Insulin --- Diseases --- Regeneration --- Physiological effect --- Algèbres associatives
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Ordered algebraic structures --- Commutative algebra --- Commutative rings --- Rings (Algebra) --- Algèbre commutative --- Anneaux commutatifs --- Anneaux (Algèbre) --- Algèbre commutative --- Anneaux (Algèbre)
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Mathematical control systems --- Algebraic fields --- Logic, Symbolic and mathematical --- Switching theory --- 512.56 --- Automatic control --- Digital electronics --- Electric networks --- Electric switchgear --- Information theory --- Machine theory --- Mathematical physics --- System analysis --- Telecommunication --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebraic number theory --- Rings (Algebra) --- Lattices, including Boolean rings and algebras --- Algebraic fields. --- Logic, Symbolic and mathematical. --- Switching theory. --- 512.56 Lattices, including Boolean rings and algebras --- Circuits logiques
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