A Kind of Non-associative Groupoids and Quasi Neutrosophic Extended Triplet Groupoids (QNET-Groupoids)

被引：0

作者：

Zhang X. ^{[1
]}

Yuan W. ^{[1
]}

Chen M. ^{[1
]}

机构：

[1] Department of Mathematics, Shaanxi University of Science & Technology, Xi’an

来源：

Neutrosophic Sets and Systems | 2020年 / 36卷

基金：

中国国家自然科学基金;

关键词：

decomposition theorem; neutrosophic extended triplet group (NETG); quasi neutrosophic extended triplet groupoid (QNET-groupoid); Semigroup; Type-2 cyclic associative groupoid (T2CA-groupoid);

D O I：

10.5281/zenodo.4065422

中图分类号：

O24 [计算数学];

学科分类号：

070102 ;

摘要：

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. © 2020. Neutrosophic Sets and Systems. All Rights Reserved.

引用

页码：145 / 163

页数：18

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