Results 101 to 110 of about 11,002 (236)
Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
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Cartwright–Sturmfels Hilbert schemes
Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
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Generalized Lower and Upper Approximations in Quantales
We introduce the concepts of set-valued homomorphism and strong set-valued homomorphism of a quantale which are the extended notions of congruence and complete congruence, respectively.
Qimei Xiao, Qingguo Li
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EVALUATING THE EFFECTIVENESS OF INNOVATION IMPLEMENTATION AT TRANSPORT ENTERPRISES UNDER CONDITIONS OF UNCERTAINTY [PDF]
In the conditions of economic uncertainty associated with war, the task of developing and applying new approaches to assessing the economic efficiency and feasibility of introducing innovations at transport enterprises has become more urgent.
Oksana O. Karpenko +3 more
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Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
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On the integral simplicial volume of cyclic covers of mapping tori
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 +1 more
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Degree-Constrained Steiner Problem in Graphs with Capacity Constraints
The degree-constrained Steiner problem in graphs is well known in the literature. In an undirected graph, positive integer degree bounds are associated with nodes and positive costs with the edges.
Miklos Molnar
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A New Type of Weakly Commutative Groups
The aim of the present paper is to define and study a new class of groups, namely Wm-groups with a single binary operation based on axioms of semi commutativity, right identity and left inverse.
Hariwan Z. Ibrahim, Muwafaq M. Salih
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On Elliott's conjecture and applications
Abstract Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$, the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equation*} \frac{1}{x}\sum _ ...
Oleksiy Klurman +2 more
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It is shown that a ring homomorphism on H(G), the algebra of analytic functions on a regular region G in the complex plane, is either linear or conjugate linear provided that the ring homomorphism takes the identity function into a nonconstant function.
N. R. Nandakumar
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