Abstract
A semiring [Formula: see text] is said to be a quasi-orthodox semiring if for any [Formula: see text], there exists some positive integer [Formula: see text] such that [Formula: see text]. In this paper, we investigate the congruence generated by [Formula: see text] on quasi completely regular semirings with and without the special conditions like being quasi-orthodox. We further establish that the interval which [Formula: see text] belongs to is [Formula: see text].
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