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Birkenmeier, Gary F.; Kara, Yeliz; Tercan, Adnan
{ "@context": "https://schema.org/", "@id": 11681, "@type": "ScholarlyArticle", "creator": [ { "@type": "Person", "affiliation": "Univ Louisiana Lafayette, Dept Math, Lafayette, LA 70504 USA", "name": "Birkenmeier, Gary F." }, { "@type": "Person", "affiliation": "Bursa Uludag Univ, Dept Math, TR-16059 Bursa, Turkey", "name": "Kara, Yeliz" }, { "@type": "Person", "affiliation": "Hacettepe Univ, Dept Math, Ankara, Turkey", "name": "Tercan, Adnan" } ], "datePublished": "2020-01-01", "description": "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.", "headline": "?-endo Baer modules", "identifier": 11681, "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", "license": "http://www.opendefinition.org/licenses/cc-by", "name": "?-endo Baer modules", "url": "https://aperta.ulakbim.gov.tr/record/11681" }
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