WEAKLY BAER RINGS

Document Type : Original Manuscript

Authors

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

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

Abstract

We say a ring R with unity is left weakly Baer if the left annihilator
of 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 is
flat. It is shown that, unlike the Baer or right PP conditions, the weakly
Baer property is inherited by polynomial extensions. Examples are provided
to explain the results.

Keywords

References

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Journal of Algebraic Systems
Volume 10, Issue 2
January 2023
Pages 361-374

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