Abstract
The concepts of a left-right regular element are important role in semigroup theory. In this paper we characterize left-right regular elements of the set of all generalized hypersubstitutions of type � = (2).
Highlights
All idempotent elements and all regular elements of the set of all generalized hypersubstitutions of type τ = (2) were studied by W
In this paper we used the concept of idempotent elements as a tool to characterize left-right regular elements
We recall the definition of a generalized hypersubstitution and some properties
Summary
All idempotent elements and all regular elements of the set of all generalized hypersubstitutions of type τ = (2) were studied by W. In this paper we used the concept of idempotent elements as a tool to characterize left-right regular elements. We denote the set of all generalized hypersubstitutions of type τ by HypG(τ ). We characterize left-right regular elements of HypG(2) the set of all generalized hypersubstitutions of type τ = (2), i.e. we have only one binary operation symbol, say f .
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