Abstract A super [R.sup.*]-unipotent semigroup is a super abundant semigroup S in which every [R.sup.*]-class of S contains a unique idempotent and whose idempotents form a subsemigroup of S. This kinds of semigroups have been investigated in [1], [3] and [5]. The aim of this paper is to introduce the concept of the generalized left [DELTA]-product of semigroups and to establish a new construction of super [R.sup.*]-unipotent semigroups, namely the generalized left [DELTA]-product structure of a super [R.sup.*]-unipotent semigroup.

Keywords Generalized left ...

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