Results 151 to 160 of about 487 (185)

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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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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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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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
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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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On the Endomorphisms of a Polynomial Ring

Canadian Journal of Mathematics, 1976
This paper arises in the attempt to solve the following problem related to the Zariski Problem. Let A be a polynomial ring in three variables over a field, . Suppose there is a subring B of A such that k ⊆ B and there is variable t over B such that B[t] = A. Then is it true that B is a polynomial ring over k?
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Unitary and Normal endomorphisms

2007
Unitary endomorphisms of an inner product space are introduced and studied. In particular, unitary and orthogonal matrices are considered. Many examples are considered, among them Householder matrices and special orthogonal matrices. Unitarily-similar matrices are defined and Schur’s Theorem is proven. Normal endomorphisms of an inner product space are
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