Jordan Algebras
Mostrando 1-11 de 11 artigos, teses e dissertações.
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1. Identidades graduadas em álgebras não-associativas / Granded identities in non associative algebras
Neste trabalho apresentamos um estudo sobre identidades polinomiais graduadas em álgebras não associativas. Mais precisamente estudamos as identidades polinomiais graduadas da álgebra de Lie das matrizes de ordem 2 com traço zero com as três graduações naturais, a Z2-graduação, a Z2 _ Z2-graduação e a Z-graduação, neste caso conseguimos uma nova
Publicado em: 2010
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2. Noncommutative Jordan Algebras with Commutators Satisfying an Alternativity Condition*
The theorems of this paper show that the main results in the structure and representation theory of Jordan algebras and of alternative algebras are valid for a larger class of algebras defined by simple identities which obviously hold in the Jordan and alternative cass. A new unification of the Jordan and associative theories is also achieved.
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3. THE RADICAL OF A JORDAN ALGEBRA
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. We then relate the corresponding notion of “semisimplicity” to the previously defined notion of “nondegeneracy” (Jacobson, N., these Proceedings, 55, 243-251 (1966)).
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4. Orientation in operator algebras
A concept of orientation is relevant for the passage from Jordan structure to associative structure in operator algebras. The research reported in this paper bridges the approach of Connes for von Neumann algebras and ourselves for C*-algebras in a general theory of orientation that is of geometric nature and is related to dynamics.
The National Academy of Sciences.
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5. A COORDINATIZATION THEOREM FOR JORDAN ALGEBRAS*
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6. JORDAN ALGEBRAS OF CAPACITY TWO*
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7. A PROPERTY OF SPECIAL JORDAN ALGEBRAS
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8. ON A CLASS OF NONCOMMUTATIVE JORDAN ALGEBRAS*
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9. STRUCTURE THEORY FOR A CLASS OF JORDAN ALGEBRAS
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10. PROOF OF AN IDENTITY ON JORDAN ALGEBRAS
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11. A THEOREM ON THE STRUCTURE OF JORDAN ALGEBRAS*