Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/9454
Title: Projection invariant extending rings
Authors: Birkenmeier, G.F.
Tercan, A.
Yucel, Canan Celep
Keywords: essential extension
Extending module
FI-extending
fully invariant
generalized triangular matrix ring
matrix ring
projection invariant
projection invariant extending
Publisher: World Scientific Publishing Co. Pte Ltd
Abstract: A ring R is said to be right ?-extending if every projection invariant right ideal of R is essential in a direct summand of R. In this article, we investigate the transfer of the ?-extending condition between a ring R and its various ring extensions. More specifically, we characterize the right ?-extending generalized triangular matrix rings; and we show that if RR is ?-extending, then so is TT where T is an overring of R which is an essential extension of R, an n × n upper triangular matrix ring of R, a column finite or column and row finite matrix ring over R, or a certain type of trivial extension of R. © 2016 World Scientific Publishing Company.
URI: https://hdl.handle.net/11499/9454
https://doi.org/10.1142/S0219498816501218
ISSN: 0219-4988
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Show full item record



CORE Recommender

SCOPUSTM   
Citations

9
checked on Nov 16, 2024

WEB OF SCIENCETM
Citations

9
checked on Nov 15, 2024

Page view(s)

26
checked on Aug 24, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.