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A Kind of Non-associative Groupoids and Quasi Neutrosophic Extended Triplet Groupoids (QNET-Groupoids)
Xiaohong Zhang
Wangtao Yuan
Mingming Chen
出版
Infinite Study
主題
Mathematics / Applied
URL
http://books.google.com.hk/books?id=0XISEAAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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 T2CAgroupoid, the notion of type-2 cyclic associative neutrosophic extended triplet groupoid (T2CANET-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.
