A Kind of Non-associative Groupoids and QuasiNeutrosophicExtended TripletGroupoids(QNET-Groupoids)

Authors

  • Xiaohong Zhang Department of Mathematics, Shaanxi University of Science & Technology, Xi’an 710021, China
  • Wangtao Yuan Department of Mathematics, Shaanxi University of Science & Technology, Xi’an 710021, China
  • Mingming Chen Department of Mathematics, Shaanxi University of Science & Technology, Xi’an 710021, China

Keywords:

Semigroup, decomposition theorem, quasi neutrosophic extended triplet groupoid, Type-2 cyclic associative groupoid, neutrosophic extended triplet group

Abstract

The various generalized associative laws can be considered as generalizations of traditional symmetry.Based on the theories of CA-groupoid, TA-groupoid and neutrosophic extended triplet (NET), this paper first proposes a new concept, which is type-2 cyclic associative groupoid (shortly by T2CA-groupoid), and gives some examples and basic properties. Furthermore, as a combination of neutrosophic extended triplet group (NETG) and T2CA-groupoid, the notion of type-2 cyclic associative neutrosophic extended triplet groupoid (T2CA-NET-groupoid) is introduced, and a decomposition theorem of T2CA-NET-groupoid is proved. Finally,as a generalization of neutrosophic extended triplet group (NETG), the concept of quasi neutrosophic extended triplet groupoid (QNET-groupoid) is introduced, and the relationships among T2CA-QNET-groupoid, T2CA-NET-groupoid and CA-NET-groupoid are discussed.

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Published

2020-10-07

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Xiaohong Zhang, Wangtao Yuan, & Mingming Chen. (2020). A Kind of Non-associative Groupoids and QuasiNeutrosophicExtended TripletGroupoids(QNET-Groupoids). Neutrosophic Sets and Systems, 36, 144-163. https://fs.unm.edu/nss8/index.php/111/article/view/780