Quasi - Reduced Rings
نویسنده
چکیده
Let R be an arbitrary ring with identity. In this paper, we introduce quasi-reduced rings as a generalization of reduced rings and investigate their properties. The ring R is called quasi-reduced if for any a, b ∈ R, ab = 0 implies (aR) ∩ (Rb) is contained in the center of R. We prove that some results of reduced rings can be extended to quasi-reduced rings for this general settings. 2010 Mathematics Subject Classification: 13C99, 16D80, 16U80.
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