Open AccessResults on Witt kernels of quadratic forms for multi-quadratic extensions
Author(s) -
Roberto Aravire,
Ahmed Laghribi
Publication year - 2013
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-2013-11730-2
Subject(s) - extension (predicate logic) , quadratic equation , binary quadratic form , isotropic quadratic form , separable space , definite quadratic form , mathematics , kernel (algebra) , quadratic function , quadratic form (statistics) , quadratic programming , quadratic field , pure mathematics , computer science , mathematical optimization , combinatorics , mathematical analysis , geometry , programming language
In this paper we compute the Witt kernel of quadratic forms for the composition of a purely inseparable multi-quadratic extension with a separable quadratic extension. We also include the case of a multi-quadratic purely inseparable extension by completing the proof given before by the second author for such an extension.