Results 11 to 20 of about 4,281 (128)
Primitive Noncommutative Jordan Algebras with Nonzero Socle [PDF]
Proceedings of the American Mathematical Society, 1986 Let A A be a nondegenerate noncommutative Jordan algebra over a field K K of characteristic ≠ 2 \ne 2 . Defining the socle S ( A ) S(A) of A A to be the socle of the plus algebra A +
Fernández López, Antonio +1 more
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Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we give an extended quaternion as a matrix form involving complex components. We introduce a semicommutative subalgebra ℂ(ℂ2) of the complex matrix algebra M(4, ℂ). We exhibit regular functions defined on a domain in ℂ4 but taking values in ℂ(ℂ2).
Ji Eun Kim, V. Ravichandran
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Flexible Algebras of Degree Two [PDF]
, 1972 All known examples of simple flexible power-associative algebras of degree two are either commutative or noncommutative Jordan. In this paper we construct an algebra which is partially stable but not commutative and not a noncommutative Jordan algebra ...
Mayne, Joseph H
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A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations [PDF]
, 2016 Moens proved that a finite-dimensional Lie algebra over field of characteristic zero is nilpotent if and only if it has an invertible Leibniz-derivation.
Kaygorodov, Ivan, Popov, Yury
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Nodal Noncommutative Jordan Algebras [PDF]
Transactions of the American Mathematical Society, 1964 1. A finite-dimensional power-associative algebra ' is said to be nodal [6] if every element of V can be written as a I + z where ai E c 1 is the unity element of W and z is nilpotent and if the set of all nilpotent elements is not a subalgebra of W. In [3; 4], Kokoris has shown that every simple nodal noncommutative Jordan algebra of characteristic p ...
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Some nodal noncommutative Jordan algebras [PDF]
Proceedings of the American Mathematical Society, 1958 2. S. Lefschetz, Algebraic geometry, Princeton, 1953. 3. H. Levi, On the structure of differential polynomials and on their theory of ideals, Trans. Amer. Math. Soc. vol. 51 (1942) pp. 532-568. 4. J. F. Ritt, Differential algebra, Amer. Math. Soc. Colloquium Publications, vol. 33, New York, 1950. 5. A.
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Magnetic monopoles and nonassociative deformations of quantum theory [PDF]
, 2017 We examine certain nonassociative deformations of quantum mechanics and gravity in three dimensions related to the dynamics of electrons in uniform distributions of magnetic charge.
Szabo, Richard J.
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Norms and noncommutative Jordan algebras [PDF]
Pacific Journal of Mathematics, 1965 The author defines \(Q\) to be a form on a vector spare \(X\) if \(Q\) is a homogeneous polynomial function on \(X\). For any rational mapping \(F\) from a space \(X_1\) into \(X_2\) let \(\partial F\) denote the differential of \(F\) and \(\partial F\,|_x\), the differential at \(x \in X_1\). Now \(\partial F\,|_x\) is a linear map and \(\partial_u F\,
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On non-commutative Minkowski spheres
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 The purpose of the following is to try to make sense of the stereo- graphic projection in a non-commutative setup. To this end, we consider the open unit ball of a ternary ring of operators, which naturally comes equipped with a non-commutative version ...
Stachó Lászlo L., Werner Wend
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Noncommutative Jordan C*-algebras
Manuscripta Mathematica, 1982 We introduce noncommutative JB*-algebras which generalize both B*-algebras and JB*-algebras and set up the bases for a representation theory of noncommutative JB*-algebras. To this end we define noncommutative JB*-factors and study the factor representations of a noncommutative JB*-algebra.
Payá, R., Pérez, J., Rodriguez, A.
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