Results 1 to 10 of about 166 (50)
Endomorphism kernel property for finite groups [PDF]
Mathematica Bohemica, 2022 A group $G$ has the endomorphism kernel property (EKP) if every congruence relation $\theta$ on $G$ is the kernel of an endomorphism on $G$. In this note we show that all finite abelian groups have EKP and we show infinite series of finite non-abelian ...
Heghine Ghumashyan, Jaroslav Guričan
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Endomorphism Spectra of Double-Edge Fan Graphs
Mathematics, 2023 There are six classes of endomorphisms for a graph. The sets of these endomorphisms form a chain under the inclusion of sets. In order to systematically study these endomorphisms, Böttcher and Knauer defined the concepts of the endomorphism spectrum and ...
Kaidi Xu, Hailong Hou, Yu Li
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Descending endomorphism graphs of groups
AKCE International Journal of Graphs and Combinatorics, 2023 We define a new type of graph of a group with reference to the descending endomorphisms of the group. A descending endomorphism of a group is an endomorphism that induces a corresponding endomorphism in every homomorphic image of the group. We define the
Vinay Madhusudanan +2 more
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On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits [PDF]
International Journal of Group Theory, 2022 For an odd prime $p$ and a positive integer $n$, it is well known that there are two types of extra-special $p$-groups of order $p^{2n+1}$, first one is the Heisenberg group which has exponent $p$ and the second one is of exponent $p^2$.
Chudamani Pranesachar Anil Kumar +1 more
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Topologically mixing extensions of endomorphisms on Polish groups
Applied General Topology, 2022 In this paper we study the dynamics of continuous endomorphisms on Polish groups. We offer necessary and sufficient conditions for a continuous endomorphism on a Polish group to be weakly mixing.
John Burke, Leonardo Pinheiro
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QUOTIENT SEMINEAR-RINGS OF THE ENDOMORPHISM OF SEMINEAR-RINGS
Barekeng, 2022 A seminear-ring is a generalization of ring. In ring theory, if is a ring with the multiplicative identity, then the endomorphism module is isomorphic to . Let be a seminear-ring.
Meryta Febrilian Fatimah +2 more
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Some monounary algebras with EKP [PDF]
Mathematica Bohemica, 2020 An algebra $\cal A$ is said to have the endomorphism kernel property (EKP) if every congruence on $\cal A$ is the kernel of some endomorphism of $\cal A$. Three classes of monounary algebras are dealt with.
Emilia Halušková
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On endomorphisms of groups of order 36; pp. 237–254 [PDF]
Proceedings of the Estonian Academy of Sciences, 2016 There exist exactly 14 non-isomorphic groups of order 36. In this paper we will prove that three of them are not determined by their endomorphism semigroups in the class of all groups.
Alar Leibak, Peeter Puusemp
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Endomorphism Type of P(3m + 1,3)
Mathematics, 2023 There are six different classes of endomorphisms for a graph. The sets of these endomorphisms always form a chain under the inclusion of sets. In order to study these different endomorphisms more systematically, Böttcher and Knauer proposed the concept ...
Rui Gu, Hailong Hou
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Endomorphism Spectra of Double Fan Graphs
Mathematics, 2020 There are six different classes of endomorphisms for a graph. The sets of these endomorphisms always form a chain under the inclusion of sets. For a more systematic treatment of different endomorphisms, Böttcher and Knauer proposed the concepts of the ...
Mengdi Tong, Hailong Hou
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