Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A generalized Jacobian criterion for regularity

Author: Peter Seibt
Journal: Proc. Amer. Math. Soc. 93 (1985), 201-202
MSC: Primary 13D03; Secondary 13H05
MathSciNet review: 770518
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Abstract: For a commutative noetherian algebra $ B$ over a perfect field $ A$ regularity is equivalent to the flatness of $ {\Omega _{B\vert A}}$ plus $ {H_1}(A,B,B) = 0$ (simplicial homology). In characteristic 0 the homological condition is superfluous.

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Keywords: Regular local ring, differentials, simplicial (co)homology
Article copyright: © Copyright 1985 American Mathematical Society