P. Koshlukov

activity

20122026

most citedGroup gradings on the Jordan algebra of upper triangular matrices

15 citations · 50 across the 25 of their papers we have counts for

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Showing 2026 · math.RAShow all

3 papers · 2 filters

math.RA2026

Identities and isomorphisms of finite graded matrix algebras

Diogo Diniz, Daniela Martinez Correa, Dimas José Gonçalves +1

Let $F$ be a finite field and let $G$ be a group such that every finite subgroup of $G$ is cyclic. In this paper we classify the division gradings by cyclic groups on matr…

math.RA2026

Graded identities of the first Weyl algebra and its generalizations

V. Futorny, P. Koshlukov, J. Schwarz

We study the graded polynomial identities of the first Weyl algebra $W_{1}$ over an infinite field. The algebra $W_{1}$ satisfies no ordinary polynomial identities in characteristic 0.…

math.RA2026

Primeness property for regular gradings

Lucio Centrone, Claudemir Fideles, Plamen Koshlukov +1

Let $K$ be an algebraically closed field of characteristic $0$ and $G$ a finite abelian group. For a $G$ -graded $K$ -algebra $A$ , we define the primeness property for graded central…