Results 11 to 20 of about 100 (95)
Automorphisms of partial endomorphism semigroups [PDF]
Publicationes Mathematicae Debrecen, 2011 In this paper we propose a general recipe for calculating the automorphism groups of semigroups consisting of partial endomorphisms of relational structures over a finite set with a single m-ary relation for any m E N. We use this recipe to determine the automorphism groups of the following semigroups: the full transformation semigroup, the partial ...
JOAO ARAUJO +4 more
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AUTOMORPHISMS OF THE ENDOMORPHISM SEMIGROUP OF A FREE ASSOCIATIVE ALGEBRA [PDF]
International Journal of Algebra and Computation, 2007 Let [Formula: see text] be the variety of associative algebras over a field K and A = K 〈x1,…, xn〉 be a free associative algebra in the variety [Formula: see text] freely generated by a set X = {x1,…, xn}, End A the semigroup of endomorphisms of A, and Aut End A the group of automorphisms of the semigroup End A.
Alexei Belov-Kanel +2 more
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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.
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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.
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A hitchhiker's guide to endomorphisms and automorphisms of Cuntz algebras
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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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
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NEARLY COMPLETE STRONG SEMILATTICE OF LEFT GROUPS
Ural Mathematical JournalThis study provides significant insights into the structure and behavior of a strong semilattice of left groups, establishing a solid foundation for future research in this domain. The work commences by presenting significant findings about endomorphisms
Aftab Hussain Shah +2 more
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On the automorphisms of the power semigroups of a numerical semigroup
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract If H$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
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Heights on ‘hybrid orbits’ in Shimura varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
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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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