Results 261 to 270 of about 3,661,284 (296)

On the existence of a disk algebra basis

Signal Processing, 2000
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On lie algebras with monomial basis

Siberian Mathematical Journal, 1993
Finite groups generated by 3-transpositions have been introduced and investigated in depth by \textit{B. Fischer} [Invent. Math. 13, 232-246 (1971; Zbl 0232.20040)]. Motivated by this remarkable result, the author attempts to study Lie algebras \(L\) over a field \(\Phi\) with a monomial basis \({\mathcal D}\) (that is, \(\forall a,b \in {\mathcal D}\),
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PBW-basis for the composition algebra of the Kronecker algebra

Journal für die reine und angewandte Mathematik (Crelles Journal), 2000
The Hall algebra of a finite-dimensional associative algebra \(A\) with unit over a finite field \(k\) is a \(\mathbb{Q}\)-vector space with basis the isomorphism classes of all finite modules, with multiplication given by \([M]\cdot[N]:=\sum_{[L]}g_{M,N}^L[L]\), where \(g^L_{M,N}\) is the number of submodules \(V\) of \(L\) isomorphic to \(N\) with ...
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Independence algebras, basis algebras and semigroups of quotients

Proceedings of the Edinburgh Mathematical Society, 2010
AbstractWe show that ifAis a stable basis algebra satisfying thedistributivity condition, thenBis a reduct of an independence algebraAhaving the same rank. If this rank is finite, then the endomorphism monoid ofBis a left order in the endomorphism monoid ofA.
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n-Algebras admitting a multiplicative basis

Journal of Algebra and Its Applications, 2018
Let [Formula: see text] be an [Formula: see text]-algebra of arbitrary dimension and over an arbitrary base field [Formula: see text]. A basis [Formula: see text] of [Formula: see text] is said to be multiplicative if for any [Formula: see text], we have either [Formula: see text] or [Formula: see text] for some (unique) [Formula: see text].
Calderón Martín, Antonio J., Navarro Izquierdo, Francisco J., Sánchez Delgado, José M.   +2 more
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A Linear Basis of the Free Akivis Algebra

Journal of Mathematical Sciences, 2019
Akivis algebras were introduced in 1976, by \textit{M. A. Akivis} in the paper [Sib. Math. J. 17, 3--8 (1976; Zbl 0337.53018); translation from Sibir. Mat. Zh. 17, 5--11 (1976)]. Let \(F(X)\) be the free nonassociative algebra over a field \(K\) with the set \(X\) of free generators.
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Leibniz Algebras Admitting a Multiplicative Basis

Bulletin of the Malaysian Mathematical Sciences Society, 2017
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A Unique Decomposition for Algebras with Multiplicative Basis

Results in Mathematics
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S. Bouarroudj, Antoni Calderón, R. M. Navarro   +2 more
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The basis of a computer system for modern algebra

Proceedings of the fourth ACM symposium on Symbolic and algebraic computation - SYMSAC '81, 1981
So-called general purpose systems for algebraic computation such as ALTRAN, MACSYMA, SAC, SCRATCHPAD and REDUCE are almost exclusively concerned with what is usually known as “classical algebra”, that is, rings of real or complex polynomials and rings of real or complex functions.
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Division algebras with a projective basis

Israel Journal of Mathematics, 2001
The authors study Schur algebras with a projective basis, i.e. central simple \(k\)-algebras which are isomorphic to a twisted group algebra over \(k\). Their main results are as follows: 1. If the twisted group algebra \(k^\alpha G\) is a division algebra with centre \(k\), then the commutator subgroup of \(G\) is cyclic. Moreover 2.
Aljadeff, Eli, Haile, Darrell
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