Regularity of Tensor Products Of $k$-Algebras

S. Bouchiba, S. Kabbaj
2014 Mathematica Scandinavica  
This paper tackles a problem on the possible transfer of regularity to tensor products of algebras over a field $k$. The main result establishes necessary and sufficient conditions for a Noetherian tensor product of two extension fields of $k$ to inherit regularity in various settings of separability. Thereby, we provide some applications as well as several original examples to illustrate or delimit the scope of the established results.
doi:10.7146/math.scand.a-18000 fatcat:v63puyqgjjb4zdedggahebujpy