Automorphisms of partial endomorphism semigroups
نویسندگان
چکیده
منابع مشابه
Automorphisms of partial endomorphism semigroups
In this paper we propose a general recipe for calculating the automorphism groups of semigroups consisting of partial endomorphisms of relational structures with a single m-ary relation for any m ∈ N over a finite set. We use this recipe to determine the automorphism groups of the following semigroups: the full transformation semigroup, the partial transformation semigroup, and the symmetric in...
متن کاملEmbedding Properties of Endomorphism Semigroups
Denote by PSelf Ω (resp., Self Ω) the partial (resp., full) transformation monoid over a set Ω, and by SubV (resp., EndV ) the collection of all subspaces (resp., endomorphisms) of a vector space V . We prove various results that imply the following: (1) If cardΩ > 2, then Self Ω has a semigroup embedding into the dual of Self Γ iff card Γ > 2 . In particular, if Ω has at least two elements, th...
متن کاملEndomorphism Semigroups and Lightlike Translations
Certain criteria are demonstrated for a spatial derivation of a von Neumann algebra to generate a one-parameter semigroup of endomorphisms of that algebra. These are then used to establish a converse to recent results of Borchers and of Wiesbrock on certain one-parameter semigroups of endomorphisms of von Neumann algebras (specifically, Type III1 factors) that appear as lightlike translations i...
متن کاملComputing automorphisms of semigroups
In this paper an algorithm is presented that can be used to calculate the automorphism group of a finite transformation semigroup. The general algorithm employs a special method to compute the automorphism group of a finite simple semigroup. As an application of the algorithm, all the automorphism groups of semigroup of order at most 7 and of the multiplicative semigroups of some group rings ar...
متن کاملEndomorphism seminear-rings of Brandt semigroups
We consider the endomorphisms of a Brandt semigroup Bn, and the semigroup of mappings E(Bn) that they generate under pointwise composition. We describe all the elements of this semigroup, determine Green’s relations, consider certain special types of mapping which we can enumerate for each n, and give complete calculations for the size of E(Bn) for small n. AMS 2000 Mathematics subject classifi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Publicationes Mathematicae Debrecen
سال: 2011
ISSN: 0033-3883
DOI: 10.5486/pmd.2011.4703