Diassociative family algebras and averaging family operators

DOI10.1016/j.geomphys.2023.104964MaRDI QIDQ6050999

Apurba Das, Sourav Sen

Publication date: 19 September 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

cohomologyaveraging operatorsfamily algebrasdiassociative algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Deformations of associative rings (16S80) Associative rings and algebras with additional structure (16W99)

Cites Work

• Unnamed Item
• Unnamed Item
• Dendriform algebras relative to a semigroup
• Averaging algebras, Schröder numbers, rooted trees and operads
• Operated semigroups, Motzkin paths and rooted trees
• Reynolds algebras and their free objects from bracketed words and rooted trees
• Typed binary trees and generalized dendrifom algebras
• Free nonunitary Rota-Baxter family algebras and typed leaf-spaced decorated planar rooted forests
• Twisted Rota-Baxter families and NS-family algebras
• Free (tri)dendriform family algebras
• Free Rota-Baxter family algebras and (tri)dendriform family algebras
• A Lie theoretic approach to renormalization
• On the deformation of rings and algebras
• Dialgebra cohomology as a G-algebra