منابع مشابه
Malcev Dialgebras
We apply Kolesnikov’s algorithm to obtain a variety of nonassociative algebras defined by right anticommutativity and a “noncommutative” version of the Malcev identity. We use computational linear algebra to verify that these identities are equivalent to the identities of degree ≤ 4 satisfied by the dicommutator in every alternative dialgebra. We extend these computations to show that any speci...
متن کاملMalcev Algebras and Combinatorial Structures
In this work, we design an algorithmic method to associate combinatorial structures with finite-dimensional Malcev algebras. In addition to its theoretical study, we have performed the implementation of procedures to construct the digraph associated with a given Malcev algebra (if its associated combinatorial structure is a digraph) and, conversely, a second procedure to test if a given digraph...
متن کاملMalcev-Neumann series and the free field
After reviewing some aspects of Cohn’s theory of the free field, we give another proof of a theorem of Lewin: the subfield of rational elements in the field of Malcev-Neumann series on the free group is isomorphic to the free field.
متن کاملCohomology Jumping Loci and Relative Malcev Completion
Two standard invariants used to study the fundamental group of the complement X of a hyperplane arrangement are the Malcev (i.e. unipotent) completion of its fundamental group π1(X,x0) and the cohomology groups H (X,Lρ) with coefficients in rank one local systems. In this paper, we develop a tool that unifies these two approaches. This tool is the Malcev completion of π1(X,x0) relative to a hom...
متن کاملStability and Diffusive Dynamics on Extended Domains
We consider dissipative systems on the real axis in situations when the evolution is dominated by a dynamics similar to the one of a linear diffusion equation. It is surprising that such a diffusive behavior occurs in relatively complicated systems. After a discussion of the linear and nonlinear diffusion equation, we give a brief introduction into the methods which are available to describe di...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1969
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1969-0237676-0