Computer Engineering and Applications ›› 2017, Vol. 53 ›› Issue (21): 54-57.DOI: 10.3778/j.issn.1002-8331.1606-0343

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On derivations of R0-algebra

HUA Xiujuan   

  1. Department of Mathematics, Xi’an University of Technology, Xi’an 710054, China
  • Online:2017-11-01 Published:2017-11-15



  1. 西安理工大学 理学院 应用数学系,西安 710054

Abstract: In the paper, the derivation of R0-algebra is introduced and investigated. By using the isotone property, contractive property, fixed point sets and filters of R0-algebra, the necessary and sufficient condition of a filter to be a good ideal derivation filter is obtained. Some important results of fixed point sets on other algebra structure is popularized.

Key words: R0-algebra, derivations, fixed point sets, filters

摘要: 引入了代数R0-的导子并研究了R0-代数上导子的相关问题。利用导子的保序性、收缩性、不动点集和R0-代数的滤子,获得了一个滤子成为好的理想导子滤子的充要条件,移植了不动点集在其他代数结构上的一些重要结果。

关键词: R0-代数, 导子, 不动点集, 滤子