Let X n be a chain with n elements (n∈ ℕ), and let 𝒪𝒫 n be the monoid of all orientation-
preserving transformations of X n. In this article, for any nonempty subset Y of X n, we …

In this paper we consider various classes of monoids of transformations of a finite chain,
including those of transformations that preserve or reverse either the order or the orientation …

Let 𝒪 𝒫 ℰ n be the monoid of all orientation-preserving and extensive full transformations on
{1, 2,…, n} ordered in the standard way. In this paper, we determine the minimum generating …

Let 𝒪 𝒫 ℰ n be the monoid of all orientation-preserving and extensive full transformations on
{1,…, n}. In this paper, we compute the rank and the idempotent rank of the ideals of the …

We characterize the monoid of endomorphisms of the semigroup of all oriented full
transformations of a finite chain, as well as the monoid of endomorphisms of the semigroup …

We describe and count the maximal subsemigroups of many well-known transformation
monoids, and diagram monoids, using a new unified framework that allows the treatment of …

We study a submonoid of the well studied monoid\(POI_n\) of all order-preserving partial
injections on an n-element chain. The set\(IOF_n^{par}\) of all partial transformations …

Let D n be the monoid of all order-decreasing full transformations on n={1,…, n}. In this
paper, we determine the maximal subsemigroups as well as the maximal idempotent …

Let POPE n be the monoid of all orientation-preserving and extensive partial transformations
on n={1,⋯, n}. In this paper, we characterize the structure of the generating sets of POPE n …

A proper subsemigroup of a semigroup is maximal if it is not contained in any other proper
subsemigroup. A maximal subsemigroup of a finite semigroup has one of a small number of …