Clustering in Celebrating Professor Themba A. Dube (A TAD Celebration II) by Inderasan Naidoo

“…Categories and General Algebraic Structures with Applications…”
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Uniform Lipschitz-connectedness and metric convexity by Paranjothi Pillay, Dharmanand Baboolal

“…Categories and General Algebraic Structures with Applications…”
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On relatively connected sublocales and J-frames by Simo Mthethwa, Siyabonga Dubazana

“…Categories and General Algebraic Structures with Applications…”
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Another closure operator on preneighbourhood spaces by Partha Ghosh

“…Categories and General Algebraic Structures with Applications…”
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A chiral Λ-bms4 symmetry of AdS4 gravity by Nishant Gupta, Nemani V. Suryanarayana

“…We posit this symmetry algebra as the chiral version of recently discovered Λ-bms4 algebra. …”
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The Quantum Symmetry in Nonbalanced Hopf Spin Models Determined by a Normal Coideal Subalgebra by Xin Qiaoling, Cao Tianqing

“…For a finite-dimensional cocommutative semisimple Hopf C∗-algebra H and a normal coideal ∗-subalgebra H1, we define the nonbalanced quantum double DH1;H as the crossed product of H with H1op^, with respect to the left coadjoint representation of the first algebra acting on the second one, and then construct the infinite crossed product AH1=⋯⋊H⋊H1^⋊H⋊H1^⋊H⋊⋯ as the observable algebra of nonbalanced Hopf spin models. …”
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The Tracial Class Property for Crossed Products by Finite Group Actions by Xinbing Yang, Xiaochun Fang

“…We define the concept of tracial 𝒞-algebra of C*-algebras, which generalize the concept of local 𝒞-algebra of C*-algebras given by H. …”
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Differential representations of dynamical oscillator symmetries in discrete Hilbert space by Andreas Ruffing

“…Finally the SUq(1,1) algebra is represented by the dynamical variables of the q-Heisenberg algebra.…”
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Topological and variational methods of nonlinear analysis and their applications by V. G. Zvyagin, Yu. E. Gliklikh, V. V. Obukhovskii

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On the Covariance of Moore-Penrose Inverses in Rings with Involution by Hesam Mahzoon

“…We will show that if a is a regular element in a C∗-algebra, then the covariance set of a is closed in the set of invertible elements (with relative topology) of C∗-algebra and is a cone in the C∗-algebra.…”
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Self-Dual Normal Basis of a Galois Ring by Irwansyah, Intan Muchtadi-Alamsyah, Aleams Barra, Ahmad Muchlis

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Excitations in strict 2-group higher gauge models of topological phases by Alex Bullivant, Clement Delcamp

“…Applying a generalised tube algebra approach, we reveal the algebraic structure underlying these excitations and derive the irreducible modules of this algebra, which in turn classify the elementary excitations of the model. …”
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Spherical Harmonics Ylm(θ,ϕ): Positive and Negative Integer Representations of su(1,1) for l-m and l+m by H. Fakhri

“…So, in addition to realizing the unitary irreducible representation of su(2) compact Lie algebra via the Ylm(θ,ϕ)’s for a given l, we can also represent su(1,1) noncompact Lie algebra by spherical harmonics for given values of l-m and l+m.…”
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A Quantization Procedure of Fields Based on Geometric Langlands Correspondence by Do Ngoc Diep

“…Therefore, we have some affine Kac-Moody loop algebra of meromorphic functions with values in Lie algebra =Lie(G). …”
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Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy by Zhengduo Shan, Hongwei Yang, Baoshu Yin

“…With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. …”
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Monte Carlo Algorithm For Matrices in Solving Systems of Linear Equations, Determinants, Inverse, Eigen Values, and Eigenvectors. by Bamwine, Delik

“…With increasing data volume and complexity in the "Big Data" era, linear algebra operations are important tools to process massive datasets. …”
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The size of a stratifying system can be arbitrarily large by Treffinger, Hipolito

“…In this short note we construct two families of examples of large stratifying systems in module categories of algebras. The first examples consist on stratifying systems of infinite size in the module category of an algebra $A$. …”
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Quantum Mechanics on a Curved Snyder Space by Salvatore Mignemi, Rina Štrajn

“…We study the representations of the three-dimensional Euclidean Snyder-de Sitter algebra. This algebra generates the symmetries of a model admitting two fundamental scales (Planck mass and cosmological constant) and is invariant under the Born reciprocity for exchange of positions and momenta. …”
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Fixed Point Results of a General Class of Monotone Nonexpansive Mappings in Hyperbolic Metric Spaces by Rida Outass, Karim Chaira, El Miloudi Marhrani, Nour-eddine El Harmouchi

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θ‐ϕ‐Contraction on α,η‐Complete Rectangular b‐Metric Spaces by Abdelkarim Kari, Mohamed Rossafi, El Miloudi Marhrani, Mohamed Aamri

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