Singular neutrosophic extended triplet groups and generalized groups
作者: Xiaohong ZhangXuejiao WangFlorentin SmarandacheTèmítópé Gbóláhàn JaíyéoláTieyan Lian
作者单位: 1Department of Mathematics, Shaanxi University of Science &Technology, Xi’an 710021, China
2Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China
3Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
4Department of Mathematics, Obafemi Awolowo University, Ile Ife 220005, Nigeria
刊名: Cognitive Systems Research, 2018
来源数据库: Elsevier Journal
DOI: 10.1016/j.cogsys.2018.10.009
关键词: Neutrosophic extended triplet groupGeneralized groupSemigroupSingular neutrosophic extended triplet groupKernel of homomorphism
英文摘要: Abstract(#br)Neutrosophic extended triplet group (NETG) is an interesting extension of the concept of classical group, which can be used to express general symmetry. This paper further studies the structural characterizations of NETG. First, some examples are given to show that some results in literature are false. Second, the differences between generalized groups and neutrosophic extended triplet groups are investigated in detail. Third, the notion of singular neutrosophic extended triplet group (SNETG) is introduced, and some homomorphism properties are discussed and a Lagrange-like theorem for finite SNETG is proved. Finally, the following important result is proved: a semigroup is a singular neutrosophic extended triplet group (SNETG) if and only if it is a generalized group.
全文获取路径: Elsevier  (合作)
影响因子:0.75 (2012)

  •  广义
  • triplet 三重态
  • extended 扩展
  • homomorphism 同态
  • generalized 广义
  • group 广义