Results 141 to 150 of about 61,116 (180)

Towards a mathematical framework for modelling cell fate dynamics. [PDF]

open access: yesJ Math Biol
Vittadello ST   +4 more
europepmc   +1 more source

Lie Admissible Non-Associative Algebras

Algebra Colloquium, 2005
A 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
openaire   +2 more sources

$ G$-identities of non-associative algebras

Sbornik: Mathematics, 1999
Let \(Q\) 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
openaire   +1 more source

Identities of Non-Associative Algebras

Canadian Journal of Mathematics, 1965
In 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
openaire   +1 more source

Non Associative Graded Algebras

1994
In 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
openaire   +1 more source

Non-associative Algebras with n-Exponential Functions

Algebra Colloquium, 2009
Dernon(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
openaire   +2 more sources

Non-Associative Normed Algebras

2014
This 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
openaire   +1 more source

PARTICLE EQUATIONS FROM NON-ASSOCIATIVE ALGEBRAS

Canadian Journal of Physics, 1959
Attention 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 ...
openaire   +2 more sources

Graphs and non-associative algebras

Journal of Mathematical Sciences, 1999
Given 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.
openaire   +2 more sources

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