Seo-Un Hwang, Young-Cheol Jeon, Kwang-Sug Park
Abstract
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We in this note introduce the concept of NCI rings which is a generalization of NI rings. We study the basic structure of NCI rings, concentrating rings of bounded index of nilpotency and von Neumann regular rings. We also construct suitable examples to the situations raised naturally in the process.
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We in this note introduce the concept of NCI rings which is a generalization of NI rings. We study the basic structure of NCI rings, concentrating rings of bounded index of nilpotency and von Neumann regular rings. We also construct suitable examples to the situations raised naturally in the process.
Key concepts: Mathematics, Von Neumann regular ring, Generalization, Bounded function, Von Neumann architecture, Pure mathematics, Construct (python library), Ring (chemistry)