Title of article
WEAKLY BAER RINGS
Author/Authors
Mehralinejadian ، S. Department of Mathematics - Islamic Azad University, Central Tehran Branch , Moussavi ، A. Department of Mathematics - Islamic Azad University, Central Tehran Branch , Sahebi ، Sh. Department of Mathematics - Islamic Azad University, Central Tehran Branch
From page
361
To page
374
Abstract
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.
Keywords
Left weakly Baer ring , Weakly p.q. , Baer ring , APP ring , S , unital left (resp. right) ideal
Journal title
Journal of Algebraic Systems
Journal title
Journal of Algebraic Systems
Record number
2735399
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