@article {
author = {Taherifar, A.},
title = {A CHARACTERIZATION OF BAER-IDEALS},
journal = {Journal of Algebraic Systems},
volume = {2},
number = {1},
pages = {37-51},
year = {2014},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2014.300},
abstract = {An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right Baer-ideal, and R is right principaly quasi-Baer if every principal right ideal of R is a right Baer-ideal. Therefore the concept of Baer ideal is important. In this paper we investigate some properties of Baer-ideals and give a characterization of Baer-ideals in 2-by-2 generalized triangular matrix rings, full and upper triangular matrix rings, semiprime ring and ring of continuous functions. Finally, we find equivalent conditions for which the 2-by-2 generalized triangular matrix ring is right SA.},
keywords = {Quasi-Baer ring,Generalized right quasi-Baer,Semicentral idempotent,Spec(R),Extremally disconnected space},
url = {https://jas.shahroodut.ac.ir/article_300.html},
eprint = {https://jas.shahroodut.ac.ir/article_300_2e4cb45d9d8d73d64020a61a5b0b5a76.pdf}
}