E ∗-dense E-semigroupsSpringer Science and Business Media LLC - Tập 89 - Trang 105-124 - 2014
John Fountain, Anthony Hayes
We obtain a covering theorem for E ∗-dense E-semigroups showing that such a
semigroup has an E ∗-dense, strongly E ∗-unitary E-semigroup as a cover and
describe the structure of the latter semigroups.
On semigroup presentations that define a groupSpringer Science and Business Media LLC - Tập 90 - Trang 149-154 - 2014
G. Ayık, B. Özer
We consider the finite semigroup presentations of the form $$\begin{aligned}
\mathcal {P}=\langle a_1,\cdots ,a_n\mid w_1=a_1,\cdots ,w_n=a_n \rangle
\end{aligned}$$ and their Adian graphs. It is known that if both Adian graphs of
$$\mathcal {P}$$ are connected and if one of the Adian graphs of $$\mathcal
{P}$$ is a cycle graph then $$\mathcal {P}$$ defines a group (see 2008). We
extend this resul... hiện toàn bộ
On a Perturbation Theorem of Kaiser and WeisSpringer Science and Business Media LLC - Tập 70 - Trang 471-474 - 2005
Charles J. K. Batty
We improve a perturbation theorem of C. Kaiser and L. Weis for semigroups of
operators on Hilbert spaces by using a generation theorem of A.M. Gomilko, D.H.
Shi and D.X. Feng.
Group closures of partial transformationsSpringer Science and Business Media LLC - Tập 65 - Trang 301-313 - 2001
Inessa Levi, Japheth Wood
Let \(X\) be an infinite set, \(f\) a partial one-to-one transformation of
\(X\), and \(H\) a normal subgroup of G X , the group of all permutations of
\(X\). We investigate when \(H\) is equal to \(G_{}\). That is, we are
interested when \(H\) is the full group of normalizers of the semigroup of
transformations on \(X\) generated by conjugates of \(f\) by elements of \(H\).... hiện toàn bộ
On exposed semigroup homomophinsSpringer Science and Business Media LLC - Tập 13 - Trang 189-204 - 1976
Benno Fuchssteiner
In the main theorem of this paper the existence of weakly exposed semigroup
homomorphisms is proved. This theorem is effectively equivalent to the axiom of
choice and generalizes some well known theorems of functional analysis like the
Hahn-Banach theorem, the Krein-Milman theorem, Bauer's minimum principle and a
result of T. Husain and I. Tweddle.