Results 141 to 150 of about 3,178 (180)

Endomorphisms of graphs I. The monoid of strong endomorphisms

Archiv der Mathematik, 1989
[Part II, cf. the review below.] We use the fact that every graph is a generalized lexicographic product of an S-unretractive graph with sets, to show that the monoid of strong endomorphisms of any graph is isomorphic to a wreath product of a group with a certain small category.
Knauer, Ulrich, Nieporte, Martin
openaire   +1 more source

Endomorphism of Abelian Groups as Modules over Their Endomorphism Rings

Mathematical Notes, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Abelian groups as endomorphic modules over their endomorphism ring

Journal of Mathematical Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chistyakov, D. S., Lyubimtsev, O. V.
openaire   +1 more source

Number of endomorphisms

1990
Since there are usually lots of endomorphisms in a BA, the variations of this function under algebraic operations have not been studied much. Its main relationships to our other functions are the following two easily established facts: |UltA| ≤ |EndA| and |AutA| ≤ |EndA|.
openaire   +1 more source

ENDOMORPHISMS OF , , AND

Communications in Algebra, 2002
We describe all endomorphisms of the (finite) Brauer semigroup, its partial analogue and the semigroup of all partitions of a -element set.
openaire   +1 more source

Anti-endomorphisms and endomorphisms satisfying an Engel condition

Communications in Algebra, 2019
AbstractLet R be a semiprime ring with τ an anti-endomorphism or endomorphism. It is proved that if τ satisfies an Engel condition [[…[[xτ,xn1],xn2]…],xnk]=0 for all x∈R, where n1,n2,…,nk are k fixed positive integers, then τ is a commuting map (i.e. [xτ,x]=0 for all x∈R).
EROĞLU, MÜNEVVER PINAR, Lee, Tsiu-Kwen, Lin, Jheng-Huei   +2 more
openaire   +2 more sources

On Rings with Many Endomorphisms

Canadian Mathematical Bulletin, 1976
AbstractAll rings have an identity, all homomorphisms map identities to identities, all homomorphisms on algebras over fields are algebra homomorphisms. A ring R is a quotient-embeddable ring (a QE-ring) if for any proper ideal a of R there is an endomorphism of R whose kernel is the ideal a.
openaire   +2 more sources

Endomorphism rings of bimodules

Periodica Mathematica Hungarica, 2014
For an integral domain \(R\), the endomorphism ring of a torsion-free \(R\)-module is torsion-free, as well. The authors investigate if this remains true for non-commutative rings, where ``torsion-free'' is replaced by ``non-singular''. Let \(R\) be a unital but not necessarily commutative ring. A right module \(M\) over \(R\) is right non-singular if \
Albrecht, Ulrich F., Göbel, Rüdiger
openaire   +1 more source

ERGODIC EXTENSIONS OF ENDOMORPHISMS

Bulletin of the Australian Mathematical Society, 2015
We examine a class of ergodic transformations on a probability measure space$(X,{\it\mu})$and show that they extend to representations of${\mathcal{B}}(L^{2}(X,{\it\mu}))$that are both implemented by a Cuntz family and ergodic. This class contains several known examples, which are unified in our work. During the analysis of the existence and uniqueness
Kakariadis ETA, Peters JR
openaire   +3 more sources

On PP-Endomorphism Rings

Canadian Mathematical Bulletin, 1993
AbstractA characterization is given of when all kernels (respectively images) of endomorphisms of a module are direct summands, a necessary condition being that the endomorphism ring itself is a left (respectively right) PP-ring. This result generalizes theorems of Small, Lenzing and Colby-Rutter and shows that R is left hereditary if and only if the ...
openaire   +1 more source