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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
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Commutative Endomorphism Rings

Canadian Journal of Mathematics, 1971
The problem of classifying the torsion-free abelian groups with commutative endomorphism rings appears as Fuchs’ problems in [ 4 , Problems 46 and 47]. They are far from solved, and the obstacles to a solution appear formidable (see [ 4; 5 ]).
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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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Endomorphism K-theory

1998
Open books and automorphisms of manifolds were shown in Chaps. 28–30 to be closely related to the L-theory of the Laurent polynomial extensions A[z, z −1] of rings with involution A, with the involution extended by \(\bar z = {z^{ - 1}}\). High-dimensional knots have been shown in Chaps.
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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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Endomorphisms

2009
Olexandr Ganyushkin, Volodymyr Mazorchuk
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Endomorphisms

2016
Martin Kreuzer, Lorenzo Robbiano
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Virtual endomorphisms of groups.

2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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