A. Baranov

activity

20002020

most citedClassification of the direct limits of involution simple associative algebras and the corresponding dimension groups

21 citations · 43 across the 8 of their papers we have counts for

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6 papers · 1 filter

math.RA2018★ 3 cited

Lie structure of associative algebras containing matrix subalgebras

Alexander Baranov

We prove that the Lie commutator subalgebra of the associative algebra containing a matrix subalgebra is perfect.

math.RA2017

Lie algebras graded by the weight system $(Θ_{n}, s l_{n})$

Alexander Baranov, Hogir M. Yaseen

A Lie algebra $L$ is said to be $(Θ_{n}, s l_{n})$ -graded if it contains a simple subalgebra $g$ isomorphic to $s l_{n}$ such that the $g$ -module $L$ decomposes…

math.RA2016★ 7 cited

Wedderburn-Malcev decomposition of one-sided ideals of finite dimensional algebras

Alexander Baranov, Andrey Mudrov, Hasan Shlaka

Let $A$ be a finite dimensional associative algebra over a perfect field and let $R$ be the radical of $A$ . We show that for every one-sided ideal $I$ of $A$ there exists a semisim…

math.RA2016

Jordan-Lie inner ideals of finite dimensional associative algebras

Alexander Baranov, Hasan Shlaka

We study Jordan-Lie inner ideals of finite dimensional associative algebras and the corresponding Lie algebras and prove that they admit Levi decompositions. Moreover, we classify…

math.RA2016

Maximal zero product subrings and inner ideals of simple rings

Alexander Baranov, Antonio Fernández López

Let Q be a (non-unital) simple ring. A nonempty subset S of Q is said to have zero product if S^2=0. We classify all maximal zero product subsets of Q. We also describe the relatio…

math.RA2012★ 21 cited

Classification of the direct limits of involution simple associative algebras and the corresponding dimension groups