We study the partial Brauer monoid and its planar submonoid, the Motzkin monoid. We
conduct a thorough investigation of the structure of both monoids, providing information on …

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 …

Let I_ n I n be the symmetric inverse semigroup on X_ n={1, ..., n\} X n= 1,…, n, and let DP_ n
DP n and ODP_ n ODP n be its subsemigroups of partial isometries and of order-preserving …

In this paper, we study partial automorphisms and, more generally, injective partial
endomorphisms of a finite undirected path from Semigroup Theory perspective. Our main …

In this paper, we study the widely considered endomorphisms and weak endomorphisms of
a finite undirected path from monoid generators perspective. Our main aim is to determine …

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 …

Let $[n] $ be a finite chain $\{1, 2,\ldots, n\} $, and let $\mathcal {IC} _ {n} $ be the semigroup
consisting of all isotone and order-decreasing injective partial transformations on $[n] $. In …

Let POPDI n (PODI n) be the semigroup consisting of all injective orientation-preserving
(order-preserving) and order-decreasing transformations on the finite chain {1<⋯< n}. For …

Let $ T_ {n} $ be the (full) transformation semigroup, and let $ OCT_ {n} $ and $ ORCT_ {n} $
be its subsemigroups of isotone contractions and of monotone contractions on a finite chain …