Toeplitz Operators with Horizontal Symbols Acting on the Poly-Fock Spaces by Armando Sánchez-Nungaray, Carlos González-Flores, Raquiel Rufino López-Martínez, Jorge Luis Arroyo-Neri

“…The C⁎ algebra generated with this kind of symbols is isomorphic to the C⁎-algebra functions on extended reals with values on the matrices of dimension n×n, and the limits at y=-∞ and y=∞ are scalar multiples of the identity matrix.…”
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A note on global existence for boundary value problems by Chuan J. Chyan, Johnny Henderson

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Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball by Hong Rae Cho

“…It is shown that, if s>n/p, the space Λsp is a multiplicative algebra. If s>n/p, then the space Λsp is not a multiplicative algebra. …”
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The Rank-One property for free Frobenius extensions by Bellamy, Gwyn, Thiel, Ulrich

“…A conjecture by the second author, proven by Bonnafé–Rouquier, says that the multiplicity matrix for baby Verma modules over the restricted rational Cherednik algebra has rank one over $\mathbb{Q}$ when restricted to each block of the algebra.In this paper, we show that if $H$ is a prime algebra that is a free Frobenius extension over a regular central subalgebra $R$, and the centre of $H$ is normal Gorenstein, then each central quotient $A$ of $H$ by a maximal ideal $\mathfrak{m}$ of $R$ satisfies the rank-one property with respect to the Cartan matrix of $A$. …”
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Generalized Hausdorff Operators on K̇α,qβ,pℝ and HK̇α,qβ,p,Nℝ in the Dunkl Settings by Faouaz Saadi, Othman Tyr, Radouan Daher

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Quasilinear Stochastic Cauchy Problem in Abstract Colombeau Spaces by Irina V. Melnikova, Uljana A. Alekseeva

“…An abstract stochastic Colombeau algebra is constructed, and solutions in the algebra are studied.…”
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M-Hazy Module and Its Homomorphism Theorem by Donghua Huo, Hongyu Liu

“…Different from the traditional fuzzification approach that defines a fuzzy algebra as a fuzzy subset of a classical algebra, we introduce an M-hazy module by fuzzifications of algebraic operations. …”
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The Safety of Learners and Teachers in School: A Criminological Analysis by Puseletso. A Dewee, Khethiwe Madima, Thifhulwifhelwi C. Tshidada

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On Minimal Norms on Mn by Madjid Mirzavaziri, Mohammad Sal Moslehian

“…We show that for each minimal norm N(⋅) on the algebra ℳn of all n×n complex matrices, there exist norms ‖⋅‖1 and ‖⋅‖2 on ℂn such that N(A)=max{‖Ax‖2:‖x‖1=1, x∈ℂn} for all A∈ℳn. …”
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Horadam Spinors by Tülay Erişir

“…Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. …”
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Explicit decomposition of a rational prime in a cubic field by Saban Alaca, Blair K. Spearman, Kenneth S. Williams

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Boundedness of Multidimensional Dunkl-Hausdorff Operators by Radouan Daher, Faouaz Saadi

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Some Results on Equivalence Groups by J. C. Ndogmo

“…In addition, the Levidecomposition of the Lie algebra associated with the larger group is found; the Levi factor of which is shown to be equal, up to a constant factor, to the Lie algebra associated with the smaller group.…”
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Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution by H. Panahi, M. Baradaran

“…We investigate the Schrödinger equation for a class of spherically symmetric potentials in a simple and unified manner using the Lie algebraic approach within the framework of quasi-exact solvability. …”
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On the operator equation α+α−1=β+β−1 by A. B. Thaheem

“…Let α,β be ∗-automorphisms of a von Neumann algebra M satisfying the operator equation α+α−1=β+β−1. …”
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Witt group of Hermitian forms over a noncommutative discrete valuation ring by L. Oukhtite

“…Moreover, for a noncommutative discrete-valued division algebraD with valuation ring R and residual division algebra D¯, we prove that W(D¯)≅WT(R), where WT(R) denotes the Witt group of regular Hermitian forms on finitely generated torsion R-modules.…”
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Measures on coallocation and normal lattices by Jack-Kang Chan

“…We show that any ℒ1-regular finitely additive measure on the algebra generated by ℒ1 can be uniquely extended to an ℒ2-regular measure on the algebra generated by ℒ2. …”
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Equivalence of K-functionals and modulus of smoothness generated by a Dunkl type operator on the interval $(-1, 1)$ by Saadi, Faouaz, Daher, Radouan

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Relativistic wave equations with fractional derivatives and pseudodifferential operators by Petr Závada

“…We show the representation of the generalized algebra of Pauli and Dirac matrices and how these matrices are related to the algebra of SU (n) group. …”
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Correlators of the symmetric product orbifold by Andrea Dei, Lorenz Eberhardt

“…Abstract We exploit null vectors of the fractional Virasoro algebra of the symmetric product orbifold to compute correlation functions of twist fields in the large N limit. …”
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