When every finitely projective ideal is projective

Najib Mahdou, Sanae Moussaoui and Moutu Abdou Salam Moutui ()
Additional contact information
Najib Mahdou: University S.M. Ben Abdellah Fez
Sanae Moussaoui: University S.M. Ben Abdellah Fez
Moutu Abdou Salam Moutui: American University of Afghanistan

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 3, 579-586

Abstract: Abstract This paper studies the class of rings in which every finitely projective ideal is projective (FPP-ring for short). We examine the transfer of this property to various context of commutative ring extensions such as direct product, homomorphic image, trivial ring extension and amalgamation ring. Our work is motivated by an attempt to generate new original classes of rings possessing this property.

Keywords: FPP-ring; Trivial ring extension; Amalgamated duplication along an ideal; Amalgamated algebra along an ideal; Primary 13A15 Secondary 13F05; 13G05 (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-021-00148-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:indpam:v:53:y:2022:i:3:d:10.1007_s13226-021-00148-y

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-021-00148-y

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().