Proper LeftGC-lppSemigroups and a Generalized Version of McAlister's P-Theorem
Xiaojiang Guo, K. P. Shum · Algebra Colloquium · 2011
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.