TY - JOUR
TI - Three Approaches to Inverse Semigroups
PY - 2015/07/25
Y2 - 2024/06/14
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 8
IS - 3
LA - en
UR - https://www.ejpam.com/index.php/ejpam/article/view/2338
SP - 294-323
AB - I give a historical survey of the three main approaches to the study of the structure of inverse semigroups. Â The first is that via \emph{inductive groupoids}, as studied by Charles Ehresmann. Â The second concerns the notion of a \emph{fundamental} inverse semigroup and its \emph{Munn representation}. Â Finally, the third centres upon the concept of an \emph{$E$-unitary} or \emph{proper} inverse semigroup and its representation (due to McAlister) by a so-called \emph{$P$-semigroup}.
ER -