On the associative Nijenhuis Relation
Kurusch Ebrahimi-Fard
TL;DR
This paper constructs a free commutative unital associative Nijenhuis algebra using an augmented modified quasi-shuffle product, providing a foundational algebraic framework for further mathematical exploration.
Contribution
It introduces a novel construction of free commutative associative Nijenhuis algebras via an augmented quasi-shuffle product, expanding algebraic structures in this area.
Findings
Construction of free commutative unital associative Nijenhuis algebra
Use of augmented modified quasi-shuffle product
Provides a new algebraic framework for Nijenhuis algebras
Abstract
In this brief note we would like to give the construction of a free commutative unital associative Nijenhuis algebra on a commutative unital associative algebra based on an augmented modified quasi-shuffle product.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology