Abstract
The concept of \({\cal K}G\)-strong semilattice of semigroups is introduced. By using this concept, we study properties of regular orthocryptosemigroups. Necessary and sufficient conditions for a semisuperabundant orthosemigroup to be a regular orthocryptosemigroup or a right quasi-normal orthocryptosemigroup and a normal orthocryptosemigroup are obtained. Important results of [11], Theorem 2.7, Chapter 4 on normal orthocryptogroups are generalized and enriched.
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