N(2,2,0)代数与BRK-代数  

N(2,2,0)algebra and BRK-algebra

作　　者：邓方安[1] DENG Fangan(School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong 723001, China)

机构地区：[1]陕西理工大学数学与计算机科学学院,陕西汉中723001

出　　处：《安徽大学学报（自然科学版）》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)。

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.

关 键 词：N(2 2 0)代数 BRK-代数 理想 滤子 商代数 

分 类 号：O152.7[理学—数学]