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Associativity of Field Algebras
Annales Henri Poincaré, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Homogeneously simple associative algebras
Russian Mathematics, 2011Suppose that \(G\) is group and \(A=\bigoplus_{g\in G}A_g\) is a \(G\)-graded algebra over a field \(k\). It is assumed that in \(A\) for any elements \(a_i\in A_{g_i}\), \(i=1,2,3,\) there exists a non-zero element \(\lambda(g_1,g_2,g_3)\in k\) such that \((a_1a_2)a_3=\lambda(g_1,g_2,g_3)a_1(a_2a_3)\).
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Algebraic algebras and prime varieties of associative algebras
Sbornik: Mathematics, 2009The following problem of Kemer is solved for prime varieties of associative algebras with unit: it is shown that over an infinite field of positive characteristic, each prime variety of associative algebras with unit is generated by an algebraic algebra of bounded algebraicity index over this field. Bibliography: 10 titles.
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Associative 2-algebras and nonabelian extensions of associative algebras
Journal of Homotopy and Related StructureszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sheng, Yunhe, Wang, You
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Central extensions of filiform associative algebras
Linear and Multilinear Algebra, 2021Ikboljon Karimjanov +2 more
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The Malcev algebra associated to a power-associative algebra
International Journal of Algebra and ComputationIn this work, we examine the construction of a Malcev algebra by employing the product of a commutative power-associative nilalgebra [Formula: see text] of nilindex four, with an element whose square is zero. Notably, when [Formula: see text] is associative, the resulting algebra exhibits a trivial product structure.
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Some Classes of Nilpotent Associative Algebras
Mediterranean Journal of Mathematics, 2020I A Karimjanov, Manuel Ladra
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