Dimension filtration on loops
نویسندگان
چکیده
منابع مشابه
On the Dimension Filtration and Cohen-macaulay Filtered Modules
For a finitely generated A-module M we define the dimension filtration M = {Mi}0≤i≤d, d = dimA M, where Mi denotes the largest submodule of M of dimension ≤ i. Several properties of this filtration are investigated. In particular, in case the local ring (A,m) possesses a dualizing complex, then this filtration occurs as the filtration of a spectral sequence related to duality. Furthermore, we c...
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We show that the graded group associated to the dimension filtration on a loop acquires the structure of a Sabinin algebra after being tensored with a field of characteristic zero. The key to the proof is the interpretation of the primitive operations of Umirbaev and Shestakov in terms of the operations on a loop that measure the failure of the associator to be a homomorphism.
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2007
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-007-0005-y