Smoothness conditions on measures using Wallman spaces by Charles Traina

“…In this paper, X denotes an arbitrary nonempty set, ℒ a lattice of subsets of X with ∅,X∈ℒ,A(ℒ) is the algebra generated by ℒ and M(ℒ) is the set of nontrivial, finite, and finitely additive measures on A(ℒ), and MR(ℒ) is the set of elements of M(ℒ) which are ℒ-regular. …”
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Linearization: Geometric, Complex, and Conditional by Asghar Qadir

“…Here, first the original work of Lie (and the early developments on it), and then more recent developments based on geometry and complex analysis, apart from Lie’s own method of algebra (namely, Lie group theory), are reviewed. …”
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Number of Forts in Iterated Logistic Mapping by Kaixuan Yu, Zhiheng Yu

“…Using the theory of complete discrimination system and the computer algebra system MAPLE V.17, we compute the number of forts for the logistic mapping fλ(x)=λx(1-x) on [0,1] parameterized by λ∈(0,4]. …”
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The super BKP hierarchy from Clifford super module by Huizhan Chen

“…The super BKP (SBKP) hierarchy in fermionic picture is constructed by embedding tensor product of infinite-dimensional Lie superalgebra of type B and Grassmann algebra into Clifford superalgebra. On the basis of bosonic counterpart, we construct the super Baker functions of the SBKP hierarchy and give a bilinear identity represented by it. …”
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Complexity of Some Generalized Operations on Networks by Muhammad Javaid, Hafiz Usman Afzal, Shaohui Wang

“…All our findings in this article have been obtained by applying the methods from linear algebra, matrix theory, and Chebyshev polynomials. …”
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Supersymmetry across the Hadronic Spectrum by Hans Günter Dosch

“…The form of the equations is constrained by the imposed superconformal algebra, which fixes the form of the light-front potential. …”
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Doubly slice knots and obstruction to Lagrangian concordance by Chantraine, Baptiste, Legout, Noémie

“…Those examples are of interest because the Legendrian contact homology algebra cannot be used to obstruct such a concordance.…”
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A Proposal for Revisiting Ćirić and Caristi Type Theorems in Metric Spaces by Belkassem Seddoug, Soumia Chaira, Karim Chaira

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Conditional Fourier-Feynman Transforms with Drift on a Function Space by Dong Hyun Cho, Suk Bong Park

“…In this paper we derive change of scale formulas for conditional analytic Fourier-Feynman transforms and conditional convolution products of the functions which are the products of generalized cylinder functions and the functions in a Banach algebra which is the space of generalized Fourier transforms of the complex Borel measures on L2[0,T] using two simple formulas for conditional expectations with a drift on an analogue of Wiener space. …”
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Double Weak Hopf Quiver and Its Path Coalgebra by Muhammad Naseer Khan, Munir Ahmed, Muhammad Arshad, Waleed Almutiry, Rashad A. R. Bantan, Mohammed Elgarhy

“…In addition, the structures of weak Hopf algebra (WHA) are obtained through path coalgebra of the proposed quivers. …”
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Pseudo-Sasakian manifolds endowed with a contact conformal connection by Vladislav V. Goldberg, Radu Rosca

“…It is proved that such manifolds are space forms M˜(K), K<0, and some remarkable properties of the Lie algebra of infinitesimal transformations of the principal vector field U˜ on M˜ are discussed. …”
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Gravitational Poisson brackets at null infinity compatible with smooth superrotations by Miguel Campiglia, Adarsh Sudhakar

“…In this paper, we derive the resulting Poisson brackets (PB). The standard PB algebra of the news and shear tensors is augmented by distributional terms at the boundaries of null infinity, including novel PB relations between the celestial metric and the radiative variables.…”
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Some Fixed Points Results of Quadratic Functions in Split Quaternions by Young Chel Kwun, Mobeen Munir, Waqas Nazeer, Shin Min Kang

“…We attempt to find fixed points of a general quadratic polynomial in the algebra of split quaternion. In some cases, we characterize fixed points in terms of the coefficients of these polynomials and also give the cardinality of these points. …”
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Representation of Fuzzy Concept Lattices in the Framework of Classical FCA by Peter Butka, Jozef Pócs, Jana Pócsová

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Weyl-Euler-Lagrange Equations of Motion on Flat Manifold by Zeki Kasap

“…In this study, partial differential equations have been obtained for movement of objects in space and solutions of these equations have been generated by using the symbolic Algebra software. Additionally, the improvements, obtained in this study, will be presented.…”
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Universal Verma Modules and the Misra-Miwa Fock Space by Arun Ram, Peter Tingley

“…The Misra-Miwa v-deformed Fock space is a representation of the quantized affine algebra Uv(sl^ℓ). It has a standard basis indexed by partitions, and the nonzero matrix entries of the action of the Chevalley generators with respect to this basis are powers of v. …”
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A triangular system for local character expansions of Iwahori-spherical representations of general linear groups by Gurevich, Maxim

“…For Iwahori-spherical representations of non-Archimedean general linear groups, Chan–Savin recently expressed the Whittaker functor as a restriction to an isotypic component of a finite Iwahori–Hecke algebra module. We generalize this method to describe principal degenerate Whittaker functors. …”
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Intersection of parabolic subgroups in Euclidean braid groups: a short proof by Cumplido, María, Gavazzi, Federica, Paris, Luis

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On Approximate Solutions of Functional Equations in Vector Lattices by Bogdan Batko

“…We provide a method of approximation of approximate solutions of functional equations in the class of functions acting into a Riesz space (algebra). The main aim of the paper is to provide a general theorem that can act as a tool applicable to a possibly wide class of functional equations. …”
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