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The Decomposition Theorems of AG Neutrosophic Extended Triplet Loops and Strong AG l l Loops Book PDF Summary
In this paper, some new properties of Abel Grassmann‘s Neutrosophic Extended Triplet Loop (AG-NET-Loop) were further studied. The following important results were proved: (1) an AG-NET-Loop is weakly commutative if, and only if, it is a commutative neutrosophic extended triplet (NETG); (2) every AG-NET-Loop is the disjoint union of its maximal subgroups. At the same time, the new notion of Abel Grassmann’s (l, l)-Loop (AG-(l, l)-Loop), which is the Abel-Grassmann’s groupoid with the local left identity and local left inverse, were introduced. The strong AG-(l, l)-Loops were systematically analyzed, and the following decomposition theorem was proved: every strong AG-(l, l)-Loop is the disjoint union of its maximal sub-AG-groups.
Detail Book of The Decomposition Theorems of AG Neutrosophic Extended Triplet Loops and Strong AG l l Loops PDF
- Author : Xiaoying Wu
- Release : 21 September 2024
- Publisher : Infinite Study
- ISBN : 978186723xxxx
- Genre : Mathematics
- Total Page : 12 pages
- Language : English
- PDF File Size : 21,9 Mb
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