Results 1 to 10 of about 100 (95)
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 ...
Brion Michel, Michel Brion
exaly +3 more sources
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
doaj +1 more source
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.
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
openaire +2 more sources
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
openaire +2 more sources
Inertial properties in groups [PDF]
International Journal of Group Theory, 2018 Let $G$ be a group and $p$ be an endomorphism of $G$. A subgroup $H$ of $G$ is called $p$-inert if $H^pcap H$ has finite index in the image $H^p$. The subgroups that are $p$-inert for all inner automorphisms of $G$ are widely known and studied in ...
Ulderico Dardano +2 more
doaj +1 more source
Mathematics, 2020 This paper surveys results related to well-known works of B. Plotkin and V. Remeslennikov on the edge of algebra, logic and geometry. We start from a brief review of the paper and motivations. The first sections deal with model theory.
Alexei Kanel-Belov +6 more
doaj +1 more source