Plamen Koshlukov

activity

20212024

most cited

Z

-graded identities of the Lie algebras

U_{1}

in characteristic 2

6 citations · 6 across the 4 of their papers we have counts for

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4 papers · 1 filter

math.RA2024

WEAK $G$ -IDENTITIES FOR THE PAIR $(M_{2} (C), s l_{2} (C))$

Ramon Códamo, Plamen Koshlukov

In this paper we study algebras acted on by a finite group $G$ and the corresponding $G$ -identities. Let $M_{2} (C)$ be the $2 \times 2$ matrix algebra over the field of comp…

math.RA2024

Specht property for the graded identities of the pair $(M_{2} (D), s l_{2} (D))$

Ramon Códamo, Plamen Koshlukov

Let $D$ be a Noetherian infinite integral domain, denote by $M_{2} (D)$ and by $s l_{2} (D)$ the $2 \times 2$ matrix algebra and the Lie algebra of the traceless matrices in $M_{2} (D)$ , resp…

math.RA2023

On sums of gr-PI algebras

Pedro Fagundes, Plamen Koshlukov

Let $A = B + C$ be an associative algebra graded by a group $G$ , which is a sum of two homogeneous subalgebras $B$ and $C$ . We prove that if $B$ is an ideal of $A$ , and both $B$ and $C…

math.RA2021★ 6 cited

$Z$ -graded identities of the Lie algebras $U_{1}$ in characteristic 2

Claudemir Fidelis, Plamen Koshlukov

Let $K$ be any field of characteristic two and let $U_{1}$ and $W_{1}$ be the Lie algebras of the derivations of the algebra of Laurent polynomials $K [t, t^{- 1}]$ and of the polynomial…

WEAK G-IDENTITIES FOR THE PAIR (M2​(C),sl2​(C))

Specht property for the graded identities of the pair (M2​(D),sl2​(D))

On sums of gr-PI algebras

Z-graded identities of the Lie algebras U1​ in characteristic 2

WEAK $G$ -IDENTITIES FOR THE PAIR $(M_{2} (C), s l_{2} (C))$

Specht property for the graded identities of the pair $(M_{2} (D), s l_{2} (D))$

$Z$ -graded identities of the Lie algebras $U_{1}$ in characteristic 2