Results 21 to 30 of about 31,076 (193)

Pseudocharacters on free groups, invariant with respect to some types of endomorphisms [PDF]

Journal of Mathematical Sciences, 2012
We investigate methods for constructing nontrivial pseudocharacters on a free group Fn invariant with respect to certain types of endomorphisms. We find some conditions for endomorphisms of the free group under which there is a nontrivial pseudocharacter that is invariant with respect to these endomorphisms.
Д. З. Каган
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Termination of extremal rays of divisorial type for the power of étale endomorphisms

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2019
The paper under review considers the following problem: let \(f:X\to X\) be a non-trivial étale endomorphism such that there exists a \(K_X\)-negative extremal ray of fiber type, then whether any \(K_X\)-negative extremal ray of divisorial type is preserved by some \((f^k)_*: N_1(X)\to N_1(X)\).
Yoshio Fujimoto
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Endomorphisms of a variety of Ueno type and Kawaguchi-Silverman Conjecture [PDF]

International Journal of Mathematics
In this paper, we first show that the monoid of separable surjective self-morphisms of a variety of Ueno type coincides with the group of automorphisms. We also give an explicit description of the automorphism group. As applications, we confirm Kawaguchi–Silverman conjecture for automorphisms of a variety of Ueno type and some Calabi–Yau three-fold ...
Keiji Oguiso
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Holomorphic endomorphisms of P3(C) related to a Lie algebra of type A3 and catastrophe theory [PDF]

Kyoto Journal of Mathematics, 2017
Chebyshev maps in the complex plane are typical chaotic maps. Veselov generalized these map. We consider a class of those maps and view them as holomorphic endomorphisms on the 3-dimensional complex projective space and make use of the theory of complex dynamics in higher dimension. We determine Julia sets and external rays of those maps, exactly.
Keisuke Uchimura
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Endomorphisms of Artin groups of type $\tilde A_n$ [PDF]

v4: Proposition 3.5 and its proof are modified according to the referee's suggestions. Accepted in the Journal of Algebra.
Luis Paris, Ignat Soroko
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Endomorphisms of type II₁-factors and Cuntz algebras [PDF]

Canadian Journal of Mathematics, 1996
In this paper we study unit preserving *-endomorphisms of and type II1 factors. A *-endomorphism α which has the property that the intersection of the ranges of αn for n = 1 , 2 , … consists solely of multiples of the unit are called shifts. In Section 2 it is shown that shifts of can be characterized up to outer conjugacy by an index n = ∞ 1, 2 , ….
Masatoshi Enomoto, Yasuo Watatani
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A Gelfand–Beurling Type Formula for Heights on Endomorphism Rings

Journal of Number Theory, 2000
Let \(V\) be a finite dimensional vector space over a number field \(K\). Then the spectral height \(H(T)\) of an endomorphism \(T\in\text{End}(V)\) is defined as the (suitably normalized) product of the spectral radii at all completions \(K_v\) of \(K\). It is shown that the spectral height is canonical on \(\text{End}(V)\) in the sense that we have \(
Valerio Talamanca
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Power-type endomorphisms of some class 2 groups [PDF]

Pacific Journal of Mathematics, 1955
Franklin Haimo
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An endomorphism algebra realization problem and Kronecker embeddings for algebras of infinite representation type

Journal of Pure and Applied Algebra, 2002
This very interesting paper deals with finite-dimensional algebras \(R\) over algebraically closed fields \(K\) and characterizes infinite representation type in case \(R\) is loop-finite or strongly simply connected. An Artin algebra \(R\) is loop-finite, if the Abelian subgroup \(\text{rad}^\infty_R(X,X)\) of the Jacobson radical \(\text{rad}_R(X,X)\)
Daniel Simson
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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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