Regularity of tensor products of k-algebras
Commutative Algebra
2016-01-29 v2 Algebraic Geometry
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.
Cite
@article{arxiv.1202.5615,
title = {Regularity of tensor products of k-algebras},
author = {S. Bouchiba and S. Kabbaj},
journal= {arXiv preprint arXiv:1202.5615},
year = {2016}
}
Comments
11 pages, Lemma 2.1 and Corollary 2.6 are slightly improved, two more references [8] and [13]