Let X be a finite or infinite chain and let O(X) be the monoid of all endomorphisms of X. In
this paper, we describe the largest regular subsemigroup of O(X) and Green's relations 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 …

Fix sets X and Y, and write\mathcal P\mathcal T_ XY PT XY for the set of all partial functions
X → YX→ Y. Fix a partial function a: Y → X a: Y→ X, and define the operation ⋆ _a⋆ a …

In this paper, we consider endomorphisms of an undirected cycle graph from Semigroup
Theory perspective. Our main aim is to present a process to determine sets of generators …

In this paper, a special kind of n-ary terms of type n, which are called T (n; Y)-full terms, are
introduced. They are derived by applying transformations on the set n= f1; 2;:::; ng with …

In this paper, we determine the relative rank of the semigroup T (X; Y) of all transformations
on a nite set X with restricted range Y modulo the semigroup of all extensions of the …

In this paper we consider the monoid $ DPC_n $ of all partial isometries of an $ n $-cycle
graph $ C_n $. We show that $ DPC_n $ is the submonoid of the monoid of all oriented …

Full article: On the monoid of partial isometries of a finite star graph Skip to Main Content
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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 …