# On pseudo-involutions, involutions and quasi-involutions in the group of almost Riordan arrays

## TL;DR

This paper explores specific involution-like elements within the larger group of almost Riordan arrays, extending the understanding of their algebraic structure.

## Contribution

It provides explicit examples of pseudo-involutions, involutions, and quasi-involutions in the group of almost Riordan arrays, highlighting their properties.

## Key findings

- Examples of pseudo-involutions in almost Riordan arrays
- Examples of involutions in almost Riordan arrays
- Examples of quasi-involutions in almost Riordan arrays

## Abstract

The group of almost Riordan arrays contains the group of Riordan arrays as a subgroup. In this note, we exhibit examples of pseudo-involutions, involutions and quasi-involutions in the group of almost Riordan arrays.