On neutrosophic extended triplet groups loops and Abel Grassmann s groupoids AG groupoids is popular PDF and ePub book, written by Xiaohong Zhang in 2024-09-21, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, On neutrosophic extended triplet groups loops and Abel Grassmann s groupoids AG groupoids can be Read Online from any device for your convenience.
On neutrosophic extended triplet groups loops and Abel Grassmann s groupoids AG groupoids Book PDF Summary
From the perspective of semigroup theory, the characterizations of a neutrosophic extended triplet group (NETG) and AG-NET-loop (which is both an Abel-Grassmann groupoid and a neutrosophic extended triplet loop) are systematically analyzed and some important results are obtained. In particular, the following conclusions are strictly proved: (1) an algebraic system is neutrosophic extended triplet group if and only if it is a completely regular semigroup; (2) an algebraic system is weak commutative neutrosophic extended triplet group if and only if it is a Clifford semigroup; (3) for any element in an AG-NET-loop, its neutral element is unique and idempotent; (4) every AG-NET-loop is a completely regular and fully regular Abel-Grassmann groupoid (AG-groupoid), but the inverse is not true. Moreover, the constructing methods of NETGs (completely regular semigroups) are investigated, and the lists of some finite NETGs and AG-NET-loops are given.
Detail Book of On neutrosophic extended triplet groups loops and Abel Grassmann s groupoids AG groupoids PDF
- Author : Xiaohong Zhang
- Release : 21 September 2024
- Publisher : Infinite Study
- ISBN : 978186723xxxx
- Genre : Mathematics
- Total Page : 11 pages
- Language : English
- PDF File Size : 15,6 Mb
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