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IPM
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“School of Mathematics”

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Paper   IPM / M / 14396
School of Mathematics
  Title:   Singular equivalence of finite dimensional algebras with radical square zero
  Author(s):  A. R. Nasr-Isfahani
  Status:   Published
  Journal: J. Pure Appl. Algebra
  Vol.:  220
  Year:  2016
  Pages:   3948-3965
  Supported by:  IPM
  Abstract:
We prove that the Crisp and Gow's quiver operation on a finite quiver Q produces a new quiver Q' with fewer vertices, such that the finite dimensional algebras kQ/J^2 and kQ'/J^2 are singularly equivalent. This operation is a general quiver operation which includes as specific examples some operations which arise naturally in symbolic dynamics (e.g., (elementary) strong shift equivalent, (in-out) splitting, source elimination, etc.).

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