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Birkenmeier, Gary F.; Kara, Yeliz; Tercan, Adnan
{ "DOI": "10.1080/00927872.2019.1677690", "abstract": "Let N be a submodule of a right R-module M-R, and Then N is said to be projection invariant in M, denoted by if for all We call M-R ?-endo Baer, denoted ?-e.Baer, if for each there exists such that where denotes the left annihilator of N in H. We show that this class of modules lies strictly between the classes of Baer and quasi-Baer modules introduced in 2004 by Rizvi and Roman. Several structural properties are developed. In contrast to the Baer modules of Rizvi and Roman, the free modules of a Baer ring are ?-e.Baer. Moreover, (co-) nonsingularity conditions are introduced which enable us to extend the Chatters-Khuri result (connecting the extending and Baer conditions in a ring) to modules. We provide examples to illustrate and delimit our results.", "author": [ { "family": "Birkenmeier", "given": " Gary F." }, { "family": "Kara", "given": " Yeliz" }, { "family": "Tercan", "given": " Adnan" } ], "container_title": "COMMUNICATIONS IN ALGEBRA", "id": "11681", "issue": "3", "issued": { "date-parts": [ [ 2020, 1, 1 ] ] }, "page": "1132-1149", "title": "?-endo Baer modules", "type": "article-journal", "volume": "48" }
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