@article{Ansari_Pawar_2024, title={On Primary and Regular $\Gamma$-Semihypergroups}, volume={22}, url={https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1647}, abstractNote={<p>In this paper the notions of primary and semiprimary $\Gamma$-hyperideals in $\Gamma$-semihypergroup are introduced. It is shown that if $rad.(I)$ is a maximal $\Gamma$-hyperideal of $S$ then $I$ is a semiprimary $\Gamma$-hyperideal of $S$. It is proved that a $\Gamma$-semihypergroup $S$ is semiprimary if and only if prime $\Gamma$-hyperideals of $S$ forms a chain under set inclusion. Regular set in $\Gamma$-semihypergroup and regular $\Gamma$-hypergroup are defined with several examples. Characterizations of regular $\Gamma$-semihypergroup is established in terms of left and right $\Gamma$-hyperideals.</p>}, number={2}, journal={Thai Journal of Mathematics}, author={Ansari, Safoora J. and Pawar, Kishor F.}, year={2024}, month={Jun.}, pages={311–322} }