Volume 8, Issue 3 (Vol. 8,No. 3, 2022)
mmr 2022, 8(3): 206-217 |
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Nokhodkar A H. Applications of quadratic D-forms to generalized quadratic forms. mmr 2022; 8 (3) :206-217
URL: http://mmr.khu.ac.ir/article-1-3003-en.html
URL: http://mmr.khu.ac.ir/article-1-3003-en.html
, a.nokhodkar@kashanu.ac.ir
Abstract: (1022 Views)
In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.
Keywords: Quadratic form, generalized quadratic form, division algebra with involution, right vector space.
Type of Study: Original Manuscript |
Subject:
alg
Received: 2019/10/1 | Revised: 2023/06/17 | Accepted: 2021/01/4 | Published: 2022/12/20 | ePublished: 2022/12/20
Received: 2019/10/1 | Revised: 2023/06/17 | Accepted: 2021/01/4 | Published: 2022/12/20 | ePublished: 2022/12/20
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