Some aspects of the theory of nodal orders

TL;DR

This paper explores the ring-theoretic properties of nodal orders, demonstrating their stability under crossed products with finite groups, thus advancing the understanding of their algebraic structure.

Contribution

It provides new insights into the properties of nodal orders and proves their closure under crossed products with finite groups.

Findings

Nodal orders have specific ring-theoretic properties.

They are closed under crossed products with finite groups.

The paper advances the algebraic understanding of nodal orders.

Abstract

In this paper, we elaborate ring theoretic properties of nodal orders. In particular, we prove that they are closed under taking crossed products with finite groups.