Results 101 to 110 of about 4,283 (134)

Nodal Noncommutative Jordan Algebras and Simple Lie Algebras of Characteristic p [PDF]

Transactions of the American Mathematical Society, 1960
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Real and complex noncommutative Jordan Banach algebras

Mathematische Zeitschrift, 1984
Janssen, Gerhard, Alvermann, Klaus
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Generalized simple noncommutative Jordan algebras of degree two

Journal of Algebra, 1976
Goldman, Jerry I, Kokoris, Louis A
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A generalization of noncommutative Jordan algebras

Journal of Algebra, 1972
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A norm on separable noncommutative Jordan algebras of degree $2$ [PDF]

Proceedings of the American Mathematical Society, 1969
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THE JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS

Journal of the Chungcheong Mathematical Society, 2016
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Chang, Ick-Soon: Jordan derivations in noncommutative Banach algebras. (English). - [J] Bull. Korean Math. Soc. 37, No. 3, 429-435 (2000). [ISSN 1015-8634]

, 2004
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On the socle of a noncommutative Jordan algebra

Manuscripta Mathematica, 1986
Let A be a nondegenerate noncommutative Jordan algebra over a field of characteristic not two. The socle of A is the sum of the minimal inner ideals of A. The authors prove that the socle contains all elements in A of finite rank, that is, all \(b\in A\) such that \(U_ bA\) is finite- dimensional.
Fernández López, Antonio, Rodríguez Palacios, Angel   +1 more
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On lie algebras associated with nodal noncommutative Jordan algebras

Acta Mathematica Sinica, 1986
The Lie algebra \(A^-_ n\) associated with a simple Lie-admissible nodal noncommutative Jordan algebra \(A_ n\) over a field of characteristic \(p>2\) is studied. It is shown that either \(A^-_ n/\) or its derived algebra is simple of generalized Cartan type H(2r).
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Noncommutative matrix jordan algebras, cayley-dickson algebras, and schafer's theorem¹

Communications in Algebra, 1995
We provide a construction of noncommutative Jordan algebras of degree two. The construction can be iterated, and we 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 deriva¬tions is used to obtain a generalization of Schafer's ...
Robert B. Brown, Nora C. Hopkins
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