Injective stabilization of additive functors. II. (Co)torsion and the Auslander-Gruson-Jensen functor
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DOI: 10.1016/j.jalgebra.2019.11.016
Abstract: Abstract The formalism of injective stabilization of additive functors is used to define a new notion of the torsion submodule of a module. It applies to arbitrary modules over arbitrary rings. For arbitrary modules over… read more here.
Keywords: torsion; module; gruson jensen; auslander gruson ... See more keywords
Cotorsion pairs and approximation classes over formal triangular matrix rings
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DOI: 10.1016/j.jpaa.2019.106271
Abstract: Abstract Let T = ( A 0 U B ) be a formal triangular matrix ring, where A and B are rings and U is a ( B , A ) -bimodule. Let C 1… read more here.
Keywords: triangular matrix; formal triangular; resp hereditary; cotorsion pairs ... See more keywords