Results 91 to 100 of about 760 (210)

Automorphisms and range families of transformation semigroups [PDF]

open access: yes, 1984
The problem of describing all automorphisms of a given semigroup of transformations of a set X has interested a number of mathematicians in the past fifty years. J. Schreier showed that all automorphisms of the full transformation semigroup T“ are inner,
Levi, Inessa
core   +1 more source

Two-sided zero-divisor graphs of orientation-preserving and order-decreasing transformation semigroups

open access: yesOpen Mathematics
For n≥4n\ge 4, let OPDn{{\mathcal{OPD}}}_{n} be the orientation-preserving and order-decreasing transformation semigroup on the finite chain Xn ...
Toker Kemal
doaj   +1 more source

Two-Sided Zero-Divisor Graphs of Order-Preserving and A-Decreasing Finite Transformation Semigroups

open access: yesAxioms
Let On(A) be the order-preserving and A-decreasing finite transformation semigroup on Xn = {1, 2, …, n}. It is known that On(A) has zero element if and only if 1 ∈ A. In this paper, we investigate zero-divisor graphs of On(A) where 1 ∈ A and n ≥ 4. First,
Kemal Toker, Muhammet Uysal
doaj   +1 more source

Counting transformation monoids and semigroups

open access: yes, 2023
We show how to enumerate different types of transformation monoids and semigroups on finite sets using the NextClosure algorithm by Ganter. This leads to an exension of the sequence A343140 in The On-line Encyclopedia of Integer Sequences (https://oeis ...
Behrisch, Mike; orcid:
core  

On new symbolic key exchange protocols and cryptosystems based on a hidden tame homomorphism

open access: yesДоповiдi Нацiональної академiї наук України
Multivariate cryptosystems are divided into public rules, for which tools of encryption are open for users and systems of the El Gamal type, for which the encryption function is not given in public, and, for its generation, the opponent has to solve a ...
V.A. Ustimenko
doaj   +1 more source

Graphs and finite transformation semigroups

open access: yesDiscrete Mathematics, 1973
Given a finite set X and a semigroup S of transformations of X, we study the orbitoids of S on X and on X^2 and, assuming S transitive, those of the statbilizer in S of an element @a @? X. The action of S as a semigroup of endomorphisms of some relevant graphs (having X as vertex set) is also considered.
openaire   +1 more source

Fractional transformations of generalised functions

open access: yes, 2009
A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson   +5 more
core   +1 more source

Every group is a maximal subgroup of the free idempotent generated semigroup over a band

open access: yes, 2013
Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several
Ruskuc, Nik   +3 more
core   +1 more source

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