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Towards a mathematical framework for modelling cell fate dynamics. [PDF]
Vittadello ST +4 more
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Memory Gate Controlled by Contexts: Potential Key Structure That Could Link Small Associative Failures With Severe Cognitive Disorders. [PDF]
Mizraji E, Lin J, Pomi A.
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Lie Admissible Non-Associative Algebras
Algebra Colloquium, 2005A non-associative ring which contains a well-known associative ring or Lie ring is interesting. In this paper, a method to construct a Lie admissible non-associative ring is given; a class of simple non-associative algebras is obtained; all the derivations of the non-associative simple [Formula: see text] algebra defined in this paper are determined ...
Ahmadi, H. Mohammad +2 more
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$ G$-identities of non-associative algebras
Sbornik: Mathematics, 1999Let \(Q\) be an abelian group and \(A=\sum_{q\in Q}A_q\) be an algebra over a field \(F\) graded by \(Q\). A \(Q\)-grading is called \textit{finite} if there is a finite subset \(P\) of \(Q\) with \(A_q=\{0\}\) for any \(q\notin P\). An algebra \(A\) is called \textit{an algebra of Lie type} if for any \(g,h,k\in Q\) there are scalars \(\alpha,\beta\in
Bakhturin, Yu. A. +2 more
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Identities of Non-Associative Algebras
Canadian Journal of Mathematics, 1965In the first part of this paper we define a partial ordering on the set of all homogeneous identities and find necessary and sufficient conditions that an identity does not imply any identity lower than it in the partial ordering (we call such an identity irreducible). Perhaps the most interesting property established for irreducible identities is that
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Non Associative Graded Algebras
1994In this paper we deal with simple non necessarily associative n-graded algebras over a commutative unitary ring. No additional finiteness condition (chain conditions, etc) is needed for our main result: we give a functorial construction which provides kl-graded algebras from k-graded algebras (for arbitrary positive integers k and l).
Dolores Martín Barquero +1 more
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Non-associative Algebras with n-Exponential Functions
Algebra Colloquium, 2009Dernon(𝔽[x1, x2, …, xn]Mn) of the evaluation algebra 𝔽[x1, x2, …, xn]Mnand Dernon(𝔽[e± x1, e± x2, …, e± xn]Mn) of the evaluation algebra 𝔽[e± x1, e± x2, …, e± xn]Mnare found in [2] and [4], respectively, where Mn= {∂1, …, ∂n}. In this work we find [Formula: see text] of the algebra [Formula: see text].
Lee, Jongwoo +2 more
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Non-Associative Normed Algebras
2014This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so ...
Miguel Cabrera García +1 more
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PARTICLE EQUATIONS FROM NON-ASSOCIATIVE ALGEBRAS
Canadian Journal of Physics, 1959Attention is called to the neglect of linear algebras not representable by matrices in the formation and study of possible relativistic wave equations. An eight-unit non-associative algebra of Cayley is used to construct a bilocal wave equation obeying a continuity equation and possessing invariance under bilocal gauge and (proper) Lorentz ...
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Graphs and non-associative algebras
Journal of Mathematical Sciences, 1999Given a graph \(G=(V,E)\), where \(V\) is the set of vertices and \(E\) the set of edges, \textit{R. Costa} and \textit{H. Guzzo jun.} [Commun. Algebra 25, 2129-2139 (1997; Zbl 0879.17016)] have constructed a nonassociative algebra \(A(G)\) over a field \(K\) associated with the graph \(G\). Concretely, \(A(G)=U\oplus Z\), with \(U=\oplus_{v\in V}Kv\),
Grishkov, A., Costa, R.
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