Groebner---Shirshov bases for associative conformal algebras with arbitrary locality function

TL;DR

This paper introduces a new method for computing confluent systems of defining relations in associative conformal algebras, extending techniques from modules over ordinary associative algebras.

Contribution

It develops a novel approach to Groebner-Shirshov bases specifically for associative conformal algebras with arbitrary locality functions.

Findings

Provides a systematic method for constructing confluent rewriting systems.

Extends existing algebraic techniques to conformal algebra structures.

Facilitates computational algebra in conformal algebra theory.

Abstract

We present an approach to the computation of confluent systems of defining relations in associative conformal algebras based on the similar technique for modules over ordinary associative algebras.