Regularity of Tensor Products Of $k$-Algebras

• Autores: S. Bouchiba, S. Kabbaj
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 115, Nº 1, 2014, págs. 5-19
• Idioma: inglés
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• Resumen

  • 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.