Identities for the Ternary Commutator

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Identities for the Ternary Commutator

If n is any positive integer, then an n-algebra is a vector space A over a field F together with a linear map v : Amn a A, where Amn denotes the n-fold tensor power of A. In the case n s 3 we say that A is a ternary Ž . algebra or triple system . To simplify notation, we write a a ??? a 1 2 n Ž . Ž . instead of v a m a m ??? m a for a g A 1 F i F n . 1 2 n i Given the n-algebra A, we can define...

متن کامل

Higher Identities for the Ternary Commutator

We use computer algebra to study polynomial identities for the trilinear operation [a, b, c] = abc − acb − bac + bca + cab − cba in the free associative algebra. It is known that [a, b, c] satisfies the alternating property in degree 3, no new identities in degree 5, a multilinear identity in degree 7 which alternates in 6 arguments, and no new identities in degree 9. We use the representation ...

متن کامل

More on Five Commutator Identities

We prove that five well-known identities universally satisfied by commutators in a group generate all universal commutator identities for commutators of weight 4.

متن کامل

Bounded Approximate Identities in Ternary Banach Algebras

and Applied Analysis 3 Step 1. Let F {a} be singleton. Then, there are u ∈ U and v ∈ V such that ‖uv‖ < M, and ‖ u, v, a − a‖ < M 1 . 2.2 Letting w uv ◦ uv, then ‖ uv ◦ uv, a − a‖ ‖ u, v, u, v, a − a − u, v, a − a ‖ < . 2.3 Step 2. Let F {a1, a2}. There is a u1, v1 ∈ U × V such that ‖ u1, v1, a1 − a1‖ < / 1 M , and for u1, v1, a2 − a2 ∈ A there is a u2, v2 ∈ U × V such that ‖ u2, v2, u1, v1, a2...

متن کامل

Commutator Theory for Loops

Using the Freese-McKenzie commutator theory for congruence modular varieties as the starting point, we develop commutator theory for the variety of loops. The fundamental theorem of congruence commutators for loops relates generators of the congruence commutator to generators of the total inner mapping group. We specialize the fundamental theorem into several varieties of loops, and also discus...

متن کامل

ذخیره 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: 1998

ISSN: 0021-8693

DOI: 10.1006/jabr.1998.7433