Results 11 to 20 of about 406 (162)
On Automorphisms and Endomorphisms of Projective Varieties [PDF]
Springer Proceedings in Mathematics and Statistics, 2014 We first show that any connected algebraic group over a perfect field is the neutral component of the automorphism group scheme of some normal projective variety. Then we show that very few connected algebraic semigroups can be realized as endomorphisms of some projective variety X, by describing the structure of all connected subsemigroup schemes of ...
Michel Brion, Brion Michel
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Automorphisms and endomorphisms of lacunary hyperbolic groups [PDF]
Groups, Geometry, and Dynamics, 2018 In this article we study automorphisms and endomorphisms of lacunary hyperbolic groups. We prove that every lacunary hyperbolic group is Hopfian, answering a question by Henry Wilton. In addition, we show that if a lacunary hyperbolic group has the fixed point property for actions on ...
Coulon, Rémi, Guirardel, Vincent
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A hitchhiker's guide to endomorphisms and automorphisms of Cuntz algebras [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2021 In this survey paper, the authors discuss various aspects of Cuntz algebras, concentrating primarily on endomorphisms and automorphisms. The authors nicely summarize many known results and provide an extensive list of open problems. Chapter 1 is an overview of the paper.
Aiello V., Conti R., Rossi S.
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Central Endomorphisms of Groups and Radical Rings [PDF]
Advances in Group Theory and Applications, 2023 An endomorphism γ of a group G is called a central endomorphism if x^-1 xγ lies into the centre Z(G) of G for each element x of G. It is easy to show that all non-zero central endomorphisms of G are automorphisms if and only if the ring R = Hom(G, Z(G ...
Alessio Russo, Mario Viscusi
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Endomorphisms and anti-endomorphisms of some finite groupoids
Журнал Средневолжского математического общества, 2022 In this paper, we study anti-endomorphisms of some finite groupoids. Previously, special groupoids $S(k, q)$ of order $k(1+k)$ with a generating set of $k$ elements were introduced.
Litavrin Andrey V.
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The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras
Доповiдi Нацiональної академiї наук України, 2022 In the study of Leibniz algebras, the information about their automorphisms (as well as about endomorphisms, derivations, etc.) is very useful. We describe the automorphism groups of finite-dimensional cyclic Leibniz algebras. In particular, we consider
L.A. Kurdachenko +2 more
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On Anti-endomorphisms of Groupoids
Известия Иркутского государственного университета: Серия "Математика", 2023 In this paper, we study the problem of element-by-element description of the set of all anti-endomorphisms of an arbitrary groupoid. In particular, the structure of the set of all anti-automorphisms of a groupoid is studied. It turned out that the set of
A.V. Litavrin
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Endomorphisms of Some Groupoids of Order $k+k^2$
Известия Иркутского государственного университета: Серия "Математика", 2020 Automorphisms and endomorphisms are actively used in various theoretical studies. In particular, the theoretical interest in the study of automorphisms is due to the possibility of representing elements of a group by automorphisms of a certain algebraic ...
A.V. Litavrin
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Lifting endomorphisms to automorphisms [PDF]
Proceedings of the American Mathematical Society, 2008 Normal endomorphisms of von Neumann algebras need not be extendable to automorphisms of a larger von Neumann algebra, but they always have asymptotic lifts. We describe the structure of endomorphisms and their asymptotic lifts in some detail, and apply those results to complete the identification of asymptotic lifts of unital completely positive linear
Arveson, William, Courtney, Dennis
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On extending endomorphisms to automorphisms [PDF]
International Journal of Mathematics and Mathematical Sciences, 1987 A monic endomorphism of a structure A can be extended to an automorphism of a larger structure A*. We investigate which properties are preserved by this process.
Hilbert Levitz, Warren Nichols
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