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On ordered $\Gamma$-hypersemigroups, minimal bi-ideals, and minimal left ideals
2021
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-2011-35
Abstract:

The definition of ordered $\Gamma$-hypersemigroups and the definitions of regular and intra-regular ordered $\Gamma$-hypersemigroups in the existing bibliography should be corrected. Care should be given to the definitions of bi-$\Gamma$-hyperideals and quasi-$\Gamma$-hyperideals as well. The main results are a characterization of minimal bi-ideals of an ordered $\Gamma$-hypersemigroup $S$ in terms of $\cal B$-simple bi-ideals of $S$ and a characterization of minimal left (resp. right) ideals of an ordered $\Gamma$-hypersemigroup $S$ in terms of left (resp. right) simple subsemigroups of $S$.

Keywords:

null
2021
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-2011-35
0
2021
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-2011-35
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Turkish Journal of Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 2.274
Cite : 725
2023 Impact : 0.039
Quarter
Basic Field of Science and Mathematics
Q4
106/135
Details
Turkish Journal of Mathematics