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math.AC2015
Cohen-Macaulay, Gorenstein, Complete intersection and regular defect for the tensor product of algebras
S. Bouchiba, J. Conde-Lago, J. Majadas
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 sa…
math.AG2015
A short proof of smooth implies flat
Jesús Conde-Lago
Proofs that a smooth morphism is flat available in the literature are long and difficult. We give a short proof of this fact.