# Commutative positive varieties of languages

## TL;DR

This paper investigates the properties of commutative positive varieties of languages, focusing on their closure under shuffle, renaming, and product operations over single-letter alphabets.

## Contribution

It introduces a detailed analysis of the structure and closure properties of commutative positive varieties of languages under specific operations.

## Key findings

- Characterization of closure properties under shuffle and renaming
- Identification of conditions for closure under product over one-letter alphabets
- Insights into the algebraic structure of these language varieties

## Abstract

We study the commutative positive varieties of languages closed under various operations: shuffle, renaming and product over one-letter alphabets.