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IPM
30
YEARS OLD

“School of Mathematics”

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Paper   IPM / M / 14969
School of Mathematics
  Title:   Chains of semidualizing modules
  Author(s):  Ensiyeh Amanzadeh
  Status:   To Appear
  Journal: J. Algebra Appl.
  Supported by:  IPM
  Abstract:
Let (R, \mathfrakm, k) be a commutative Noetherian local ring. We study the suitable chains of semidualizing R-modules. We prove that when R is Artinian, the existence of a suitable chain of semidualizing modules of length n=max { i\geqslant 0 | \mathfrakmi ≠ 0 } implies that the the Poincar\acutee series of k and the Bass series of R have very specific forms. Also, in this case we show that the Bass numbers of R are strictly increasing. This gives an insight into the question of Huneke about the Bass numbers of R.

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