TY - JOUR ID - 2480 TI - WEAKLY BAER RINGS JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Mehralinejadian, S. AU - Moussavi, A. AU - Sahebi, Sh. AD - Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran. Y1 - 2023 PY - 2023 VL - 10 IS - 2 SP - 361 EP - 374 KW - Left weakly Baer ring KW - Weakly p.q.-Baer ring KW - APP ring KW - S-unital left (resp. right) ideal DO - 10.22044/jas.2022.11148.1555 N2 - We say a ring R with unity is left weakly Baer if the left annihilatorof any nonempty subset of R is right s-unital by right semicentral idempotents,which implies that R modulo the left annihilator of any nonempty subset isflat. It is shown that, unlike the Baer or right PP conditions, the weaklyBaer property is inherited by polynomial extensions. Examples are providedto explain the results. UR - https://jas.shahroodut.ac.ir/article_2480.html L1 - https://jas.shahroodut.ac.ir/article_2480_5a6c89e16b2af5f2297eb048bfa8d252.pdf ER -