Results 51 to 60 of about 1,475 (226)
Method of general Coule–Hopf substitutions in theory of finite-dimensional dynamical systems
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 We consider the results of applying the method of generic Cole–Hopf substitutions to integration of finite-dimensional dynamical systems. Dynamical systems are represented in the form of matrix ordinary differential equations with specific matrix algebra
C. S. Obrubov, V. M. Zhuravlev
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Rota–Baxter Operators on Cocommutative Weak Hopf Algebras
Mathematics, 2021 In this paper, we first introduce the concept of a Rota–Baxter operator on a cocommutative weak Hopf algebra H and give some examples. We then construct Rota–Baxter operators from the normalized integral, antipode, and target map of H.
Zhongwei Wang +3 more
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On indicators of Hopf algebras [PDF]
Israel Journal of Mathematics, 2015 Kashina, Montgomery and Ng introduced the $n$-th indicator $ν_n(H)$ of a finite-dimensional Hopf algebra $H$ and showed that the indicators have some interesting properties such as the gauge invariance. The aim of this paper is to investigate the properties of $ν_n$'s. In particular, we obtain the cyclotomic integrality of $ν_n$ and a formula for $ν_n$
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Journal of Algebra, 2004 If \(Q\) is a Schurian Hopf quiver and \(k\) is a field of characteristic zero, the simple pointed Hopf subalgebras of a graded Hopf algebra structure on the path coalgebra \(kQ^c\) are classified. A dual Gabriel theorem for pointed Hopf algebras is proved.
Van Oystaeyen, Fred, Zhang, Pu
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Renormalization group-like proof of the universality of the Tutte polynomial for matroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In this paper we give a new proof of the universality of the Tutte polynomial for matroids. This proof uses appropriate characters of Hopf algebra of matroids, algebra introduced by Schmitt (1994). We show that these Hopf algebra characters are solutions
G. Duchamp +3 more
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EPiC Series in Computing, 2018 Classically, Hopf algebras are defined on the basis of modules over commutative rings. The present study seeks to extend the Hopf algebra formalism to a more general universal-algebraic setting, entropic varieties, including (pointed) sets, barycentric algebras, semilattices, and commutative monoids.
Anna B. Romanowska, Jonathan D. H. Smith
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T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma +2 more
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Engineering Reports, Volume 8, Issue 6, June 2026.The study introduces a model‐free data‐driven control strategy combining sliding mode control with a projection recurrent neural network to regulate HIV dynamics. The method eliminates dependence on mathematical models, ensures constrained optimal drug dosing, and robustly drives HIV states to a healthy equilibrium despite uncertainty. ABSTRACT In this
Ashkan Zarghami +2 more
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Hopf algebras with triality [PDF]
Transactions of the American Mathematical Society, 2012 In this paper we revisit and extend the constructions of Glauberman and Doro on groups with triality and Moufang loops to Hopf algebras. We prove that the universal enveloping algebra of any Lie algebra with triality is a Hopf algebra with triality. This allows us to give a new construction of the universal enveloping algebras of Malcev algebras.
Benkart, Georgia +2 more
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On the tightness of left‐invariant contact structures
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than SU(2)$\mathrm{SU}(2)$. We then make use of such factorization property to construct
Eugenio Bellini
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