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Paper   IPM / M / 8832
School of Mathematics
  Title:   Simplicial join via tensor product
1.  Hossein Sabzrou
2.  Massoud Tousi
3.  Siamak Yassemi
  Status:   Published
  Journal: Manuscripta Math.
  Vol.:  126
  Year:  2008
  Pages:   255-272
  Publisher(s):   Springer-Verlag
  Supported by:  IPM
Let k be a field, and M and N two finitely generated graded modules over standard graded k-algebras A and B, respectively. We will study generalized, sequentially, almost, and approximately Cohen-Macaulay as well as clean, and pretty clean properties of the Ak B-module Mk N through the corresponding properties of M and N. The behavior of these properties with respect to the simplicial join of two simplicial (multi)complexes will be revealed as corollaries.

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