Idempotents and inverses in conventional semigroups
Idempotents and product representations with applications to the semigroup of binary relations.
Idempotent-separating extensions of regular semigroups.
Identities of a five-element 0-simple semigroup.
Identities of orthodox semigroup rings.
Identities of semigroup rings over semilattices of completely (O-)simple semigroups.
Identities over the two-element alphabet.
Identities valid globally in semigroups.
Implicative commutative semigroups are equivalent to a class of BCK algebras.
In memory of Jaroslav Ježek
Infinite injective transformations whose centralizers have simple structure
For an infinite set X, denote by Γ(X) the semigroup of all injective mappings from X to X under function composition. For α ∈ Γ(X), let C(α) = β ∈ g/g(X): αβ = βα be the centralizer of α in Γ(X). The aim of this paper is to determine those elements of Γ(X) whose centralizers have simple structure. We find α ∈ (X) such that various Green’s relations in C(α) coincide, characterize α ∈ Γ(X) such that the -classes of C(α) form a chain, and describe Green’s relations in C(α) for α with so-called finite...
Infinite periodic points of endomorphisms over special confluent rewriting systems
We consider endomorphisms of a monoid defined by a special confluent rewriting system that admit a continuous extension to the completion given by reduced infinite words, and study from a dynamical viewpoint the nature of their infinite periodic points. For prefix-convergent endomorphisms and expanding endomorphisms, we determine the structure of the set of all infinite periodic points in terms of adherence values, bound the periods and show that all regular periodic points are attractors.
Infinite products in monoids.
Infinite words and permutation properties.
Inflation of a union of groups
Inflation of Semigroups
Injective endomorphisms of Gx-normal semigroups: Infinite defects.
Injective hulls of S-systems over a Clifford semigroup.
Injective vector valued semigroups.
Injectives in certain classes of semigroups.