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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.

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DOI: http://dx.doi.org/10.7146/math.scand.a-18000

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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