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Vector Induced Lattice Gauge Theories [PDF]
Modern Physics Letters A, 1993 We consider vector induced lattice gauge theories, in particular we consider the QED induced and we show that at negative temperature corresponds to the dimer problem while at positive temperature it describes a gas of branched polymers with loops.
Pesando, Igor
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Vector-Vector Scattering on the Lattice [PDF]
EPJ Web of Conferences, 2018 In this work we present an extension of the LüScher formalism to include the interaction of particles with spin, focusing on the scattering of two vector particles.
Romero-López Fernando +2 more
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An equivalence functor between local vector lattices and vector lattices [PDF]
Categories and General Algebraic Structures with Applications, 2018 We call a local vector lattice any vector lattice with a distinguished positive strong unit and having exactly one maximal ideal (its radical). We provide a short study of local vector lattices.
Karim Boulabiar
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Statistical convergence in vector lattices [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The statistical convergence is defined for sequences with the asymptotic density on the natural numbers, in general. In this paper, we introduce the statistical convergence in vector lattices by using the finite additive measures on directed sets ...
A. Aydın, F. Temizsu
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Karpatsʹkì Matematičnì Publìkacìï, 2021 We study measurable elements of a Riesz space $E$, i.e. elements $e \in E \setminus \{0\}$ for which the Boolean algebra $\mathfrak{F}_e$ of fragments of $e$ is measurable. In particular, we prove that the set $E_{\rm meas}$ of all measurable elements of
I. Krasikova, M. Pliev, M. Popov
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Subharmonic envelopes for functions on domains
Вестник Самарского университета: Естественнонаучная серия, 2023 One of the most common problems in various fields of real and complex analysis is the questions of the existence and construction for a given function of an envelope from below or from above of a function from a special class H. We consider a case when H
Bulat N. Khabibullin
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More on the extension of linear operators on Riesz spaces
Karpatsʹkì Matematičnì Publìkacìï, 2022 The classical Kantorovich theorem asserts the existence and uniqueness of a linear extension of a positive additive mapping, defined on the positive cone $E^+$ of a Riesz space $E$ taking values in an Archimedean Riesz space $F$, to the entire space $E$.
O.G. Fotiy, A.I. Gumenchuk, M.M. Popov
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Lattice Attacks on NTRU Revisited
IEEE Access, 2021 NTRU cryptosystem was proposed by J. Hoffstein, J.Pipher and J.H. Silverman in 1996, whose security is related to the hardness of finding sufficient short vectors in NTRU lattice with dimension $2N$ .
Jingguo Bi, Lidong Han
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Automorphism groups of some variants of lattices
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper we consider variants of the power set and the lattice of subspaces and study automorphism groups of these variants. We obtain irreducible generating sets for variants of subsets of a finite set lattice and subspaces of a finite vector space
O.G. Ganyushkin, O.O. Desiateryk
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Free Vector Lattices and Free Vector Lattice Algebras [PDF]
, 2021 37 pages. Some typos corrected. Final version, to be published in 2021 by Birkh\"auser in `Positivity and its Applications', Proceedings of the Positivity X conference from 8-12 July 2019 in Pretoria.
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