# Computation of point modules of finitely semi-graded rings

## TL;DR

This paper computes the point modules of finitely semi-graded rings, including quantum affine spaces and non-graded quantum algebras, expanding understanding of their module structures.

## Contribution

It introduces methods to compute point modules for finitely semi-graded rings, especially for non-graded quantum algebras, which was previously less understood.

## Key findings

- Point modules for quantum affine n-space are parametrized.
- Set of point modules for certain non-ℕ-graded quantum algebras is explicitly computed.
- Provides new insights into the structure of semi-graded rings.

## Abstract

In this paper we compute the set of point modules of finitely semi-graded rings. In particular, from the parametrization of the point modules for the quantum affine n-space, the set of point modules for some important examples of non $\mathbb{N}$-graded quantum algebras is computed.