The Zelmanov nilpotence theorem for quadratic Jordan algebras
نویسندگان
چکیده
منابع مشابه
Zel’manov’s Theorem for Primitive Jordan–banach Algebras
In fact, if X is any vector space on which the primitive Banach algebra A acts faithfully and irreducibly, then X can be converted in a Banach space in such a way that the requirements in Theorem 0 are satisfied and even the inclusion A9BL(X ) is contractive. Roughly speaking, the aim of this paper is to prove the appropriate Jordan variant of Theorem 0. The notion of primitiveness for Jordan a...
متن کاملFinite Vertex Algebras and Nilpotence
I show that simple finite vertex algebras are commutative, and that the Lie conformal algebra structure underlying a reduced (= without nilpotent elements) finite vertex algebra is nilpotent.
متن کاملA Theorem on the Structure of Jordan Algebras.
The purpose of this paper is to fill a gap in Albert's structure theory' of abstract Jordan algebras of any characteristic $2, by proving the following: THEOREM A. Let 21 be a finite-dimensional Jordan algebra over a field (. Assume (1) that 21 has an identity element u and (2) that every element of 21 has the form au + z, where a e (D and z is nilpotent. Then 21 = 4u + A3, where Z is a nil sub...
متن کاملthe local nilpotence theorem for 4-engel groups revisited
the proof of the local nilpotence theorem for 4-engel groups was completed by g. havas and m. vaughan-lee in 2005. the complete proof on the other hand is spread over several articles and the aim of this paper is to give a complete coherent linear version. in the process we are also able to make few simplifications and in particular we are able to merge two of the key steps into one.
متن کاملThe Jordan-Hölder Theorem
This submission contains theories that lead to a formalization of the proof of the Jordan-Hölder theorem about composition series of finite groups. The theories formalize the notions of isomorphism classes of groups, simple groups, normal series, composition series, maximal normal subgroups. Furthermore, they provide proofs of the second isomorphism theorem for groups, the characterization theo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1980
ISSN: 0021-8693
DOI: 10.1016/0021-8693(80)90026-5