Coefficient fields and scalar extension in positive characteristic
Commutative Algebra
2007-05-23 v2
Abstract
Let k be a perfect field of positive characteristic, k(t)_{per} the perfect closure of k(t) and A=k[[X_1,...,X_n]]. We show that for any maximal ideal N of A'=k(t)_{per}\otimes_k A, the elements in \hat{A'_N} which are annihilated by the "Taylor" Hasse-Schmidt derivations with respect to the X_i form a coefficient field of \hat{A'_N}.
Keywords
Cite
@article{arxiv.math/0411323,
title = {Coefficient fields and scalar extension in positive characteristic},
author = {M. Fernandez-Lebron and L. Narvaez-Macarro},
journal= {arXiv preprint arXiv:math/0411323},
year = {2007}
}
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Final version