Jordan tori for a torsion free abelian group
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In this article, the authors classify Jordan G-tori, where G is any torsion-free abelian group using the Zelmanov prime structure theorem, and divide them into three types, the Hermitian type, the Clifford type, and the Albert type.Abstract:
We classify Jordan G-tori, where G is any torsion-free abelian group Using the Zelmanov prime structure theorem, such a class divides into three types, the Hermitian type, the Clifford type, and the Albert type We concretely describe Jordan G-tori of each typeread more
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Groups of Extended Affine Lie Type
Saeid Azam,Amir Farahmand Parsa +1 more
TL;DR: In this article, Steinberg groups associated to extended affine Lie algebras and their root systems were constructed by the integration methods of Kac and Peterson for integrable Lie algesbras.
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A new characterization of Kac–Moody–Malcev superalgebras
TL;DR: In this article, Malcev (super) algebras are put in the framework of affine Kac-Moody affine Lie super-algeses.
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A new characterization of kac-moody-malcev superalgebras
TL;DR: In this article, the authors show that Malcev (super) algebras can also be put in the framework of affine Kac-Moody Lie Algebra.
References
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Book
The Algebraic Structure of Group Rings
TL;DR: For a group G over an integral domain R the group ring R(G) is a free unitary i-module over the elements of G as a basis and in which the multiplication on G is extended linearly to yield an associative multiplication on R (G), becoming a ring with an identity.
Book
A first course in noncommutative rings
TL;DR: In this article, a text on rings, fields and algebras is intended for graduate students in mathematics, aiming the level of writing at the novice rather than at the expert, and by stressing the role of examples and motivation.
Book
A Taste of Jordan Algebras
TL;DR: Mcrimmon as mentioned in this paper describes the history of Jordan algebras and describes in full mathematical detail the recent structure theory for Jordan algesbras of arbitrary dimension due to Efim Zel'manov.