Classical properties of skew Hurwitz series rings

Document Type : Research Paper

Authors

1 Department of Computer Science and Engineering, Jamia Hamdard, New Delhi, India

2 Department of Applied Sciences, Apeejay Stya University, Gurgaon, Haryana (India), 122001, India

Abstract

In this paper, we study the transfer of some algebraic properties from the ring $R$ to the ring of skew Hurwitz series $(HR, \omega)$, where $\omega$ is an automorphism of $R$ and vice versa. Different properties of skew Hurwitz series are studied with respect to various clean ring structures and semiclean ring structures.

Keywords