Transposition Regular AG-Groupoids and Their Decomposition Theorems
نویسندگان
چکیده
In this paper, we introduce transposition regularity into AG-groupoids, and a variety of regular AG-groupoids (L1/R1/LR, L2/R2/L3/R3-groupoids) are obtained. Their properties structures discussed by their decomposition theorems: (1) L1/R1-transposition equivalent to each other, they can be decomposed the union disjoint Abelian subgroups; (2) LR-transposition an example is given illustrate that not every AG-groupoid AG-groupoid; (3) if it satisfying certain condition; (4) strong L2/R3-transposition (5) L3/R2-transposition other AG subgroups. relations discussed. Finally, various semigroups discuss relationships among them commutative Clifford semigroup as well group.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10091396