127 citations · 194 across the 19 of their papers we have counts for
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Algebras with ternary law of composition combining Z_2 and Z_3 gradings
V. Abramov, R. Kerner, O. Liivapuu
In the present article we investigate the possibility of combining the usual Grassmann algebras with their ternary Z_3-graded counterpart, thus creating a more general algebra with…
Semi-Commutative Galois Extension and Reduced Quantum Plane
Viktor Abramov, Md. Raknuzzaman
In this paper we show that a semi-commutative Galois extension of associative unital algebra by means of an element, whose Nth power is equal to the identity element of an algebra,…
Classification of Low Dimensional 3-Lie Superalgebras
Viktor Abramov, Priit Lätt
A notion of n-Lie algebra introduced by V.T. Filippov can be viewed as a generalization of a concept of binary Lie algebra to the algebras with n-ary multiplication law. A notion o…
Noncommutative Galois Extension and Graded q-Differential Algebra
Viktor Abramov
We show that a semi-commutative Galois extension of a unital associative algebra can be endowed with the structure of a graded q-differential algebra. We study the first and higher…