Article
Coefficient fields and scalar extension in positive characteristic
Author/s | Fernández Lebrón, María Magdalena
Narváez Macarro, Luis |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2005-03-15 |
Deposit Date | 2016-07-04 |
Published in |
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Abstract | Let k be a perfect field of positive characteristic, k(t)per the perfect closure of k(t)
and A = k[[X1, . . . , Xn]]. We show that for any maximal ideal n of A′ = k(t)per ⊗k A,
the elements in Ac′
n which are annihilated ... Let k be a perfect field of positive characteristic, k(t)per the perfect closure of k(t) and A = k[[X1, . . . , Xn]]. We show that for any maximal ideal n of A′ = k(t)per ⊗k A, the elements in Ac′ n which are annihilated by the “Taylor” Hasse-Schmidt derivations with respect to the Xi form a coefficient field of Ac′ n . |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Project ID. | MTM2004-07203-C02-01 |
Citation | Fernández Lebrón, M.M. y Narváez Macarro, L. (2005). Coefficient fields and scalar extension in positive characteristic. Journal of Algebra, 285 (2), 819-834. |
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