Algebraic setup of non-strict multiple zeta values

TL;DR

This paper develops an algebraic framework for non-strict multiple zeta values and proves relations analogous to known identities in multiple zeta values, enhancing understanding of their algebraic structure.

Contribution

It introduces a new algebraic setup for NMZVs and establishes relations similar to Hoffman's relations for multiple zeta values.

Findings

Established algebraic relations for NMZVs

Analogous relations to Hoffman's for multiple zeta values

Enhanced the algebraic understanding of NMZVs

Abstract

In this article, we introduce an algebraic setup of non-strict multiple zeta values (NMZVs, for short) and prove some relations of NMZVs, which are analogous to Hoffman's relations of multiple zeta values, by using this algebraic setup of NMZVs.