On the free metabelian transposed Poisson and F-manifold algebras

K. Abdukhalikov; B. Sartayev

doi:10.1142/S179355712550007X

On the free metabelian transposed Poisson and F-manifold algebras

K. Abdukhalikov
, B. Sartayev

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we consider free transposed Poisson and free F-manifold algebras with an additional metabelian identity. We construct a linear basis for both free metabelian transposed Poisson and free metabelian F-manifold algebras.

Original language	English
Article number	2550007
Journal	Asian-European Journal of Mathematics
Volume	18
Issue number	7
DOIs	https://doi.org/10.1142/S179355712550007X
Publication status	Published - Jul 1 2025

Keywords

F-manifold algebra
Transposed Poisson algebra
free algebra
metabelian identity
polynomial identities

ASJC Scopus subject areas

General Mathematics

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10.1142/S179355712550007X

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title = "On the free metabelian transposed Poisson and F-manifold algebras",

abstract = "In this paper, we consider free transposed Poisson and free F-manifold algebras with an additional metabelian identity. We construct a linear basis for both free metabelian transposed Poisson and free metabelian F-manifold algebras.",

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AU - Abdukhalikov, K.

AU - Sartayev, B.

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N2 - In this paper, we consider free transposed Poisson and free F-manifold algebras with an additional metabelian identity. We construct a linear basis for both free metabelian transposed Poisson and free metabelian F-manifold algebras.

AB - In this paper, we consider free transposed Poisson and free F-manifold algebras with an additional metabelian identity. We construct a linear basis for both free metabelian transposed Poisson and free metabelian F-manifold algebras.

KW - F-manifold algebra

KW - Transposed Poisson algebra

KW - free algebra

KW - metabelian identity

KW - polynomial identities

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UR - https://www.scopus.com/pages/publications/86000186018#tab=citedBy

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JO - Asian-European Journal of Mathematics

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On the free metabelian transposed Poisson and F-manifold algebras

Abstract

Keywords

ASJC Scopus subject areas

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