On Extensions of Right Symmetric Rings without Identity
نویسندگان
چکیده
منابع مشابه
Reduced p.p.-rings without identity
Throughout this paper, the ring R is not necessarily with an identity. We denote the set of all idempotents of R by E(R). Also, for a subset X ⊆ R, we denote the right (resp., left) annihilator of X in R by annr(X) (resp., ann (X)). Now, according to Fraser and Nicholson in [5], we call a ring R a left p.p.-ring, in brevity, l.p.p.-ring, if for all x ∈ R, there exists an idempotent e such that ...
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ژورنال
عنوان ژورنال: Advances in Pure Mathematics
سال: 2014
ISSN: 2160-0368,2160-0384
DOI: 10.4236/apm.2014.412075