Results 21 to 30 of about 506 (162)

Automorphisms of the endomorphism semigroup of a polynomial algebra

Journal of Algebra, 2011
The authors describe the automorphism group of the endomorphism semigroup \(\text{End\,}K[x_1,\dots,x_n]\) of the ring \(K[x_i]\) of polynomials over an arbitrary field \(K\). A similar result is obtained for the automorphism groups of finitely generated free commutative algebras of the variety \(CA\) of commutative algebras.
Belov-Kanel, A., Lipyanski, R.
openaire   +2 more sources

Endomorphisms of stable planes [PDF]

, 1992
Endomorphisms of stable planes are introduced, and it is shown that these are injective, locally constant or collapsed. Examples are studied, and it is shown that there are stable planes admitting "substantially more" endomorphisms than ...
Stroppel, Markus
core   +1 more source

The automorphisms of endomorphism semigroups of free burnside groups [PDF]

International Journal of Algebra and Computation, 2015
In this paper, we describe the automorphism groups of the endomorphism semigroups of free Burnside groups B(m, n) for odd exponents n ≥ 1003. We prove, that the groups Aut (B(m, n)) and Aut ( End (B(m, n))) are canonically isomorphic. In particular, if the groups Aut ( End (B(m, n))) and Aut ( End (B(k, n))) are isomorphic, then m = k.
openaire   +2 more sources

Visualizing Automorphisms of Graph Algebras [PDF]

, 2018
Many fundamental properties of graphC*-algebras may be determined directly from the structure of the underlying graph, and because of this, they have been celebrated asC*-algebras that can be seen. This paper shows how permutative endomorphisms of graphC*
Szymanski, Wojciech, Rune Johansen, Johansen, Rune, Szymanski, Wojciech; id_orcid, Avery, James Emil, James Emil Avery, Wojciech Szymański   +6 more
core   +1 more source

Extensible endomorphisms of compact groups [PDF]

, 2023
We show that the endomorphisms of a compact connected group that extend to endomorphisms of every compact overgroup are precisely the trivial one and the inner automorphisms; this is an analogue, for compact connected groups, of results due to Schupp and
Chirvasitu, Alexandru
core   +1 more source

Shimura subvarieties via endomorphisms [PDF]

, 2022
We prove that there exist two families in $\mathcal{M}_2, \mathcal{M}_3$ of non-Galois covers of the projective line whose Jacobians trace out Shimura subvarieties of $\mathcal{A}_2, \mathcal{A}_3$. They provide the first two explicit examples of Shimura
Irene Spelta, Spelta, Irene
core   +1 more source

On the automorphisms of the power semigroups of a numerical semigroup

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley   +1 more source

NEARLY COMPLETE STRONG SEMILATTICE OF LEFT GROUPS

Ural Mathematical Journal
This study provides significant insights into the structure and behavior of a strong semilattice of left groups, establishing a solid foundation for future research in this domain. The work commences by presenting significant findings about endomorphisms
Aftab Hussain Shah, Shariq Ali, Dilawar Juneed Mir   +2 more
doaj   +1 more source

On the integral simplicial volume of cyclic covers of mapping tori

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an n$n$‐dimensional torus. By studying the integral filling volume—an invariant introduced by Frigerio and the first author—for the monodromy, we establish both lower and upper ...
Federica Bertolotti, Ervin Hadžiosmanović   +1 more
wiley   +1 more source

On endomorphisms of the direct product of two free groups [PDF]

, 2022
We describe the endomorphisms of the direct product of two free groups of finite rank and obtain conditions for which the subgroup of fixed points is finitely generated and we do the same for periodic points.
Carvalho, André
core   +1 more source