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

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