On split products of quaternion algebras with involution in characteristic two

被引：8

作者：

Mahmoudi, M. G. ^{[1
]}

Nokhodkar, A. -H. ^{[1
]}

机构：

[1] Sharif Univ Technol, Dept Math Sci, Tehran, Iran

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2014年 / 218卷 / 04期

关键词：

QUADRATIC-FORMS; DISCRIMINANT; FIELDS;

D O I：

10.1016/j.jpaa.2013.08.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The question of whether a split tensor product of quaternion algebras with involution over a field of characteristic two can be expressed as a tensor product of split quaternion algebras with involution is shown to have an affirmative answer. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：731 / 734

页数：4

共 50 条

[31] ASSOCIATIVE ALGEBRAS WITH INVOLUTION AND JORDAN ALGEBRAS
JACOBSON, N
KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETESCHAPPEN-PROCEEDINGS SERIES A-MATHEMATICAL SCIENCES, 1966, 69 (02): : 202 - &
[32] A RESULT CONCERNING TWO-SIDED CENTRALIZERS ON ALGEBRAS WITH INVOLUTION
Sirovnik, Nejc
Vukman, Joso
OPERATORS AND MATRICES, 2013, 7 (03): : 687 - 693
[33] The roots of a split quaternion
Ozdemir, M.
APPLIED MATHEMATICS LETTERS, 2009, 22 (02) : 258 - 263
[34] Capelli identities on algebras with involution or graded involution
BENANTI, Francesca Saviella
VALENTI, Angela
TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (05) : 1644 - 1666
[35] REPRESENTATION OF ALGEBRAS WITH INVOLUTION
MAXWELL, G
CANADIAN JOURNAL OF MATHEMATICS, 1972, 24 (04): : 592 - &
[36] NORMED ALGEBRAS WITH INVOLUTION
MULLER, V
MANUSCRIPTA MATHEMATICA, 1992, 75 (02) : 197 - 210
[37] ALGEBRAIC ALGEBRAS WITH INVOLUTION
MONTGOMERY, S
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 31 (02) : 368 - +
[38] Valuations on algebras with involution
J.-P. Tignol
A. R. Wadsworth
Mathematische Annalen, 2011, 351 : 109 - 148
[39] SPLIT QUATERNION MATRICES
Alagoz, Yasemin
Oral, Kursat Hakan
Yuce, Salim
MISKOLC MATHEMATICAL NOTES, 2012, 13 (02) : 223 - 232
[40] Valuations on algebras with involution
Tignol, J. -P.
Wadsworth, A. R.
MATHEMATISCHE ANNALEN, 2011, 351 (01) : 109 - 148

← 1 2 3 4 5 →