All intra-regular generalized hypersubstitutions of type (2). (English) Zbl 1470.20029
Summary: A generalized hypersubstitution of type \(\tau\) maps each operation symbol of the type to a term of the type, and can be extended to a mapping defined on the set of all terms of this type. The set of all such generalized hypersubstitutions forms a monoid. An element \(a\) of a semigroup \(S\) is intra-regular if there is \(b \in S\) such that \(a = baab\). In this paper, we determine the set of all intra-regular elements of this monoid for type \(\tau = (2)\).
Keywords:
generalized hypersubstitution; regular element; sequence of term; completely regular; intra-regular elementReferences:
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