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Turkish Journal of Mathematics

DOI

10.3906/mat-2003-37

Abstract

We wrote this note to show that the definition of $\Gamma$-hypersemigroups in [2] should be corrected, and that it is not enough to replace the hyperoperation $\circ$ of the hypersemigroup by $\Gamma$ to pass from a hypersemigroup to a $\Gamma$-hypersemigroup. Care should be taken about the definitions of $(m,n)$-quasi-$\Gamma$-hyperideal, the $m$-left $\Gamma$-hyperideal and the $n$-right $\Gamma$-hyperideal as well.

Keywords

$\Gamma$-semihypergroup, $(m, n)$-quasi-$\Gamma$-hyperideal

First Page

957

Last Page

959

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Mathematics Commons

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