Abstract
In this paper, we describe the structure of proper left GC-lpp semigroups. Our main result not only generalizes a result of Takizawa on E-unitary [Formula: see text]-unipotent semigroups but also those of Fountain and Gomes on proper left ample semigroups. Ultimately, we extend McAlister's P-theorem, a fundamental structure theorem of inverse semigroups.
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