NONCOMMUTATIVE MATRIX JORDAN ALGEBRAS, CAYLEY-DICKSON ALGEBRAS, AND SCHAFERS THEOREM

被引：3

作者：

BROWN, RB ^{[1
]}

HOPKINS, NC ^{[1
]}

机构：

[1] INDIANA STATE UNIV,DEPT MATH & COMP SCI,TERRE HAUTE,IN 47809

来源：

COMMUNICATIONS IN ALGEBRA | 1995年 / 23卷 / 01期

关键词：

D O I：

10.1080/00927879508825226

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a construction of noncommutative Jordan algebras of degree two. The construction can be iterated, and pre show that after the first few iterations no new derivations arise. The relationship between this iterative process and the Cayley-Dickson process is studied, and the result on derivations is used to obtain a generalization of Schafer's classical theorem on the derivation algebras of Cayley-Dickson algebras.

引用

页码：373 / 397

页数：25

共 50 条

[31] Levels and sublevels of algebras obtained by the Cayley-Dickson process
Flaut, Cristina
ANNALI DI MATEMATICA PURA ED APPLICATA, 2013, 192 (06) : 1099 - 1114
[32] Function Theories in Cayley-Dickson Algebras and Number Theory
Rolf Sören Kraußhar
Milan Journal of Mathematics, 2021, 89 : 19 - 44
[33] Completions and homomorphisms of infinite dimensional Cayley-Dickson algebras
Ludkowski, S., V
LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (11): : 2040 - 2049
[34] Codes Over Subsets of Algebras Obtained by the Cayley-Dickson Process
Flaut, Cristina
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (04) : 1195 - 1210
[35] The zero divisors of the Cayley-Dickson algebras over the real numbers
Moreno, G
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 1998, 4 (01): : 13 - 28
[36] C*-Algebras of Meta-Invariant Operators in Modules Over Cayley-Dickson Algebras
Ludkovsky, Sergey V.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2015, 39 (05) : 625 - 684
[37] Roots and critical points of polynomials over Cayley-Dickson algebras
Chapman, Adam
Guterman, Alexander
Vishkautsan, Solomon
Zhilina, Svetlana
COMMUNICATIONS IN ALGEBRA, 2023, 51 (04) : 1355 - 1369
[38] GENERALIZATIONS OF THE CAYLEY-DICKSON DOUBLING PROCEDURE FOR ALGEBRAS OVER C
Deguire, Paul
Gauthier, Claude
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2011, 23 (02): : 149 - 163
[39] Born-infeld Lagrangian using Cayley-Dickson algebras
Kuwata, S
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2004, 19 (10): : 1525 - 1548
[40] NONCOMMUTATIVE MATRIX JORDAN ALGEBRAS
BROWN, RB
HOPKINS, NC
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 333 (01) : 137 - 155

← 1 2 3 4 5 →