Results 11 to 20 of about 928,268 (284)
The radical of a jordan algebra. [PDF]
Proceedings of the National Academy of Sciences, 1969 In this paper we define a Jacobson radical for Jordan algebras analogous to that for associative algebras and show that it enjoys many of the properties of the associative radical.
K. Mccrimmon
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On the Definition of Quasi-Jordan Algebra [PDF]
Communications in Algebra, 2010 Velásquez and Felipe recently introduced quasi-Jordan algebras based on the product in an associative dialgebra with operations ⊣ and ⊢. We determine the polynomial identities of degree ≤4 satisfied by this product. In addition to right commutativity and
M. Bremner
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Isotopisms of Jordan Algebras [PDF]
Proceedings of the American Mathematical Society, 1969 R. H. Oehmke and R. Sandler have shown in [4] that the middle nucleus of a finite-dimensional semisimple Jordan algebra coincides with its center providing the base field has a characteristic different from 2. By the middle nucleus of a commutative algebra A we mean the set of those elements x in A, for which the associator (y, x, z) = (yx)z-y(xz ...
Holger P. Petersson
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Representation of Jordan and Lie Algebras [PDF]
Transactions of the American Mathematical Society, 1949 Garrett Birkhoff, Philip M. Whitman
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Advances in Mathematics, 2021 A conjecture for the dimension and the character of the homogenous components of the free Jordan algebras is proposed. As a support of the conjecture, some numerical evidences are generated by a computer and some new theoretical results are proved. One of them is the cyclicity of the Jordan operad.
Kashuba, Iryna, Mathieu, Olivier
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Jordan algebras and their applications [PDF]
Bulletin of the American Mathematical Society, 1978 Kevin McCrimmon
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A COORDINATIZATION THEOREM FOR JORDAN ALGEBRAS [PDF]
Proceedings of the National Academy of Sciences, 1962 Throughout this note, the term “algebra” is used for algebra over a field Φ of characteristic ≠2, not necessarily associative or of finite dimensionality. Let D be such an algebra with an identity 1 and an involution d → \( \bar d \). We can form the matrix algebra D n of n × n matrices with entries in D and the usual matrix compositions of addition ...
Nathan Jacobson
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Transactions of the American Mathematical Society, 1975 A local Jordan algebra J \mathfrak {J} is a unital quadratic Jordan algebra in which Rad J \operatorname {Rad} \mathfrak {J} is a maximal ideal, J / Rad J \mathfrak {
Marvin E. Camburn
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