Results 11 to 20 of about 102 (99)
Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture
Proceedings of the London Mathematical Society, Volume 127, Issue 5, Page 1268-1337, November 2023., 2023 Abstract We offer some theorems, mainly finiteness results, for certain patterns in elliptical billiards, related to periodic trajectories; these seem to be the first finiteness results in this context. For instance, if two players hit a ball at a given position and with directions forming a fixed angle in (0,π)$(0,\pi )$, there are only finitely many ...
Pietro Corvaja, Umberto Zannier
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Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors
Proceedings of the London Mathematical Society, Volume 127, Issue 3, Page 513-588, September 2023., 2023 Abstract We show that the mesh mutations are the minimal relations among the g${\bm{g}}$‐vectors with respect to any initial seed in any finite‐type cluster algebra. We then use this algebraic result to derive geometric properties of the g${\bm{g}}$‐vector fan: we show that the space of all its polytopal realizations is a simplicial cone, and we then ...
Arnau Padrol +3 more
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On fractional semidiscrete Dirac operators of Lévy–Leblond type
Mathematische Nachrichten, Volume 296, Issue 7, Page 2758-2779, July 2023., 2023 Abstract In this paper, we introduce a wide class of space‐fractional and time‐fractional semidiscrete Dirac operators of Lévy–Leblond type on the semidiscrete space‐time lattice hZn×[0,∞)$h{\mathbb {Z}}^n\times [0,\infty )$ (h>0$h>0$), resembling to fractional semidiscrete counterparts of the so‐called parabolic Dirac operators.
Nelson Faustino
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Endomorphism semigroups and lightlike translations [PDF]
Letters in Mathematical Physics, 1996 16 pages, Latex; minor ...
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A CHARACTERIZATION OF SCHMIDT GROUPS BY THEIR ENDOMORPHISM SEMIGROUPS [PDF]
International Journal of Algebra and Computation, 2005 A Schmidt group is a non-nilpotent finite group in which each proper subgroup is nilpotent. Each Schmidt group G is a solvable group of order ps qv (where p and q are different primes) with a unique Sylow p-subgroup P and a cyclic Sylow q-subgroup Q, and hence G is a semidirect product of P by Q.
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On semigroups of endomorphisms of a chain with restricted range [PDF]
Semigroup Forum, 2013 Let $X$ be a finite or infinite chain and let $O(X)$ be the monoid of all endomorphisms of $X$. In this paper, we describe the largest regular subsemigroup of $O(X)$ and Green's relations on $O(X)$. In fact, more generally, if $Y$ is a nonempty subset of $X$ and $O(X,Y)$ the subsemigroup of $O(X)$ of all elements with range contained in $Y$, we ...
Fernandes, Vitor H. +3 more
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Semigroup endomorphisms of rings [PDF]
Journal of the Australian Mathematical Society, 1978 AbstractWe show that rings for which every non-constant multiplicative endomorphism is additive are trivial or power rings (that is, rings R such that R = R2 and x2 = 0 = x+x for all x ∈ R) and that if R is a power ring for which every multiplicative endomorphism is additive, then End (R) is a zero semigroup or a semilattice according to how the ...
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F1000ResearchThroughout this paper our study focuses on transformation semigroups. These kinds of semigroups are the corner stone of semigroup theory. This is because every semigroup is isomorphic to transformation semigroup.
Asawer Al-Aadhami, Hala M. Sulaiman
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On the theories classified by an étendue
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We give a model‐theoretic characterisation of the geometric theories classified by étendues—the ‘locally localic’ topoi. They are the theories where each model is determined, syntactically and semantically, by any witness of a fixed collection of formulae.
Joshua L. Wrigley
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Endomorphisms of Finite Symmetric Inverse Semigroups
Journal of Algebra, 1997 Denote by \({\mathcal I}_n\) the symmetric inverse semigroup on \(X=\{1,2,\dots,n\}\). For any function \(f\), the rank of \(f\) is denoted by \(\text{rank}(f)\) and is the cardinality of the range of \(f\). For \(1\leq k\leq n+1\), let \(I_k=\{t\in{\mathcal I}_n:\text{rank}(t)2\) and \(n\neq 4\). If \(\varphi\) is an endomorphism of \({\mathcal I}_n\)
Schein, Boris M., Teclezghi, Beimnet
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