Results 181 to 190 of about 4,589 (218)

Endomorphism of Abelian Groups as Modules over Their Endomorphism Rings

Mathematical Notes, 2021
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Abelian groups as endomorphic modules over their endomorphism ring

Journal of Mathematical Sciences, 2008
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Chistyakov, D. S., Lyubimtsev, O. V.
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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|.
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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.
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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
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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
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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.
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Clean endomorphism rings

Archiv der Mathematik, 2004
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Nicholson, W. K., Varadarajan, K., Zhou, Y.   +2 more
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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 ...
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On Expanding Endomorphisms of the Circle

Journal of the London Mathematical Society, 1990
A problem posed by M. Shub and D. Sullivan on the classification of real Lebesgue measure-preserving endomorphisms of the circle is investigated. A new Jacobian invariant is introduced and complete measure-theoretic isomorphism invariants are given which are simultaneously measure-theoretic and topological in character.
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