Characterization of Differential and Pure Ideals in the Hurwitz Series Ring: Structural Insights and Formulations

Omar Alomari, Manal Al-Labadi and Abdul Rauf Khan

International Journal of Mathematics and Mathematical Sciences, 2024, vol. 2024, 1-4

Abstract: This paper offers an in-depth investigation into pure ideals within the Hurwitz series ring. Specifically, by focusing on the Hurwitz series ring, denoted as HR over a ring R, we present a comprehensive characterization of differential ideals. In this paper, we prove that these differential ideals can be expressed in the form HI, where I represents an ideal in the underlying ring R. Through this analysis, a comprehensive understanding of the structure and properties of pure ideals within the Hurwitz series ring is achieved.

Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/ijmms/2024/9412822.pdf (application/pdf)
http://downloads.hindawi.com/journals/ijmms/2024/9412822.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9412822

DOI: 10.1155/2024/9412822

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().