Regularity of Tensor Products Of $k$-Algebras

  • S. Bouchiba
  • S. Kabbaj

Abstract

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.
Published
2014-08-12
How to Cite
Bouchiba, S., & Kabbaj, S. (2014). Regularity of Tensor Products Of $k$-Algebras. MATHEMATICA SCANDINAVICA, 115(1), 5-19. https://doi.org/10.7146/math.scand.a-18000
Section
Articles