A New Approach to Defining Cochain Complexes for Tri-dendriform algebra

TL;DR

This paper introduces a new systematic method for defining cochain complexes in tri-dendriform algebra, facilitating cohomology studies by leveraging classical cohomology techniques.

Contribution

It presents a novel approach to construct cochain complexes for tri-dendriform algebra, simplifying cohomology computations and connecting with classical methods.

Findings

Simplified cohomology computations for tri-dendriform algebra

Established a systematic framework for cochain complexes

Enabled use of classical cohomology techniques

Abstract

Our constructions provide a systematic way to study cohomology tri-dendriform algebra via classical cohomology, simplifying computations and enabling the use of established techniques.