Cohen-Macaulay, Gorenstein, Complete intersection and regular defect for the tensor product of algebras

2015/12/09 by Samir Bouchiba, Bouchiba, S., Jesús Conde–Lago +3 · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1512.02804

Abstract

This paper main goal is to measure the defect of Cohen-Macaulayness, Gorensteiness, complete intersection and regularity for the tensor product of algebras over a ring. For this sake, we determine the homological invariants which are inherent to these notions, such as the Krull dimension, depth, injective dimension, type and embedding dimension of the tensor product constructions in terms of those of their components.

Cited by

• Adequate complete intersection homomorphisms

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