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- W4383553903 abstract "Objectives: The primary goal of this study is to present the concept of a strong G group as a generalization of G group. Methods and Findings: We have investigated some of the properties of the G group and extended it to introduce the idea of a strong G group. Novelty: Every strong G group is a G group, but not all G groups are strong G groups. Further if G is a non-empty G semigroup and for all a;b e G, the equations aax = b and yaa = b for all x; y e G and for all a e G have unique solutions in G, then G is a strong G group. Also, we characterize that non-empty subsetH of a strong G groupG is a strong G subgroup if and only if for all a;b eH;aac e H for all a e G where c is strong inverse of b in G. Finally, we prove that the intersection of two strong G subgroups is again a strong G subgroup and the center of strong G group C(G) is also a G subgroup. Keywords: Semigroup; Strong G group; Strong G subgroup; Centre of G group" @default.
- W4383553903 created "2023-07-08" @default.
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- W4383553903 date "2023-07-06" @default.
- W4383553903 modified "2023-09-27" @default.
- W4383553903 title "Strong Gamma Group" @default.
- W4383553903 doi "https://doi.org/10.17485/ijst/v16i25.1325" @default.
- W4383553903 hasPublicationYear "2023" @default.
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