WEAKLY BAER RINGS

نویسندگان
Mehralinejadian, S. ID 1
Moussavi, A. ID 2
Sahebi, Sh. ID 3

1 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.

2 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.

3 Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P.O. Box 14115-134, Tehran, Iran.

doi
10.22044/jas.2022.11148.1555
چکیده

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.

کلیدواژه‌ها
Left weakly Baer ring, Weakly p.q.-Baer ring, APP ring, S-unital left (resp. right) ideal