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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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