Kiselman's semigroup is an important algebraic and combinatorial object. In this work, we present the most significant results about Kiselman's semigroup, such as the proof of finiteness, the canonical form of elements, results on idempotents, linear representations, automorphisms, and maximal nilpotent subsemigroups. Furthermore, we investigate the structure of the endomorphism monoid and prove results related to the asymptotic behavior of the cardinality of Kiselman's semigroups.
|
