Title of article :
On Degenerations of Cohen–Macaulay Modules
Author/Authors :
Yuji Yoshino، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
Abstract :
In relation to degenerations of modules, we introduce several partial orders on the set of isomorphism classes of finitely generated modules over a noetherian commutative local ring. Our main theorem says that, under several special conditions, any degenerations of maximal Cohen–Macaulay modules are essentially obtained by the degenerations of Auslander–Reiten sequences.
Keywords :
Degeneration , Cohen–Macaulay module , Auslander–Reiten quiver , Auslander–Reiten sequence
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra