manuscripta mathematica

, Volume 126, Issue 2, pp 255–272

Simplicial join via tensor product

Open AccessArticle

DOI: 10.1007/s00229-008-0175-x

Cite this article as:
Sabzrou, H., Tousi, M. & Yassemi, S. manuscripta math. (2008) 126: 255. doi:10.1007/s00229-008-0175-x


Let \(\mathbb k\) be a field, and M and N two finitely generated graded modules over standard graded \(\mathbb k\)-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 \(A\otimes_{\mathbb k} B\)-module \(M\otimes_{\mathbb k} N\) 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.

Mathematics Subject Classification (2000)

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© Springer-Verlag 2008

Authors and Affiliations

  • Hossein Sabzrou
    • 1
  • Massoud Tousi
    • 1
    • 2
  • Siamak Yassemi
    • 1
    • 3
  1. 1.School of MathematicsInstitute for Studies in Theoretical Physics and Mathematics (IPM)TehranIran
  2. 2.Department of MathematicsShahid Beheshti UniversityTehranIran
  3. 3.Department of MathematicsUniversity of TehranTehranIran