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- Title
Simplicial join via tensor product.
- Authors
Hossein Sabzrou
- Abstract
<div class="Abstract"><a name="Abs1"></a><span class="AbstractHeading">Abstract </span>Let <a name="IEq1"></a>$$\mathbb k$$ be a field, and M and N two finitely generated graded modules over standard graded <a name="IEq2"></a>$$\mathbb k$$-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 name="IEq3"></a>$$A\otimes_{\mathbb k} B$$-module <a name="IEq4"></a>$$M\otimes_{\mathbb k} N$$ 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. </div>
- Subjects
TENSOR algebra; MATHEMATICAL transformations; MATHEMATICAL analysis; CALCULUS of tensors
- Publication
Manuscripta Mathematica, 2008, Vol 126, Issue 2, p255
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/s00229-008-0175-x