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...
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We prove that five well-known identities universally satisfied by commutators in a group generate all universal commutator identities for commutators of weight 4.
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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 ...
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As the development of singular integral operators, their commutators and multilinear operators have been well studied (see [4, 5, 6, 7, 8, 9, 10]). In [4, 5, 6, 7, 8, 9, 10], the authors prove that the commutators and multilinear operators generated by the singular integral operators and BMO functions are bounded on L(R) for 1 < p <∞; Chanillo (see [2]) proves a similar result when singular int...
متن کاملPohozaev Identities for Anisotropic Integro-differential Operators
We establish Pohozaev identities and integration by parts type formulas for anisotropic integro-differential operators of order 2s, with s ∈ (0, 1). These identities involve local boundary terms, in which the quantity u/d|∂Ω plays the role that ∂u/∂ν plays in the second order case. Here, u is any solution to Lu = f(x, u) in Ω, with u = 0 in R \ Ω, and d is the distance to ∂Ω.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2010
ISSN: 0024-3795
DOI: 10.1016/j.laa.2010.05.005