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

Abstract

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)

13C1313C1413F55
Download to read the full article text

Copyright information

© 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