In a previous paper, the author investigated the structure of a right (left) quasi-adequate semigroup with a particular normal medial idempotent. The subject of the current paper is an order analogue. Namely, we provide a structure theorem for a naturally ordered quasi-adequate semigroup $(S,\leq)$ with a maximum idempotent $u$ in which $uSu$ is an adequate subsemigroup of $S$ with the property that the relations $\L$ and $\R$ are abundant. We achieve this result as a combination of those in the one-sided case.
El-Qallali, A. (2026). Ordered right (left) quasi-adequate semigroups. Journal of Algebra and Related Topics, (), -. doi: 10.22124/jart.2026.29076.1735
MLA
El-Qallali, A. . "Ordered right (left) quasi-adequate semigroups", Journal of Algebra and Related Topics, , , 2026, -. doi: 10.22124/jart.2026.29076.1735
HARVARD
El-Qallali, A. (2026). 'Ordered right (left) quasi-adequate semigroups', Journal of Algebra and Related Topics, (), pp. -. doi: 10.22124/jart.2026.29076.1735
CHICAGO
A. El-Qallali, "Ordered right (left) quasi-adequate semigroups," Journal of Algebra and Related Topics, (2026): -, doi: 10.22124/jart.2026.29076.1735
VANCOUVER
El-Qallali, A. Ordered right (left) quasi-adequate semigroups. Journal of Algebra and Related Topics, 2026; (): -. doi: 10.22124/jart.2026.29076.1735
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