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N(2,2,0)代数与BRK-代数 被引量:1

N(2,2,0)algebra and BRK-algebra
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摘要 Ravi Kumar Bandaru提出了BRK-代数的概念,并研究了相关性质,证明了所有满足结合律的BRK-代数都是群.讨论N(2,2,0)代数与BRK-代数的关系,进一步研究了N(2,2,0)代数的理想与滤子,并在N(2,2,0)代数的p-根集上构造了一个商代数. The concept of BRK-algebra was introduced and their properties were studied by Ravi Kumar Bandaru.They showed that every associative BRK-algebra was a group.The paper discussed relationship between N(2,2,0)algebra and BRK-algebra and then investigated several properties of ideal and filters of N(2,2,0)algebra.Finally,a quotient N(2,2,0)algebra was determined by a congruence on a p-radical set of N(2,2,0)algebra.
作者 邓方安 DENG Fangan(School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong 723001, China)
出处 《安徽大学学报(自然科学版)》 CAS 北大核心 2020年第3期1-5,共5页 Journal of Anhui University(Natural Science Edition)
基金 国家自然科学基金资助项目(61561040)。
关键词 N(2 2 0)代数 BRK-代数 理想 滤子 商代数 N(2,2,0)algebra BRK-algebra ideal filter quotient algebra
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