On the free metabelian transposed Poisson and F-manifold algebras
K. Abdukhalikov, B. K. Sartayev
TL;DR
This paper constructs linear bases for free metabelian transposed Poisson and F-manifold algebras, advancing the understanding of their algebraic structures with additional metabelian constraints.
Contribution
It introduces the first explicit bases for free metabelian transposed Poisson and F-manifold algebras, incorporating the metabelian identity.
Findings
Established linear bases for free metabelian transposed Poisson algebra
Established linear bases for free metabelian F-manifold algebra
Enhanced understanding of algebraic structures with metabelian constraints
Abstract
In this paper, we consider free transposed Poisson algebra and free F-manifold algebra with an additional metabelian identity. We construct a linear basis for both free metabelian transposed Poisson algebra and free metabelian F-manifold algebra.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology