A Unified Approach to Generalizing π-Extending and π-Baer Rings

Yeliz Kara

Journal of Mathematics, 2025, vol. 2025, 1-8

Abstract: This paper introduces and examines the right essentially π-Baer ring property, which serves as a new extension of the π-extending and π-Baer ring conditions. The initial phase of the study involves the development of several foundational results. The subsequent phase of the study involves the exploration of the transfer of the right essentially π-Baer condition between a ring R and its various ring extensions. The paper provides a characterization of the right essentially π-Baer generalized triangular matrix rings, as well as n×n upper triangular matrix rings of R and a specific type of trivial extension of R. The findings are illustrated by means of several examples.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2025/5579681.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2025/5579681.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:jjmath:5579681

DOI: 10.1155/jom/5579681

Access Statistics for this article

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