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
- DOI: 10.7146/math.scand.a-18000
- Enlaces
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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.
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