A New Result on Tricyclic Mappings by Taoufik Sabar, Abdelhafid Bassou, Mohamed Aamri

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Noether Symmetries of the Area-Minimizing Lagrangian by Adnan Aslam, Asghar Qadir

“…It is shown that the Lie algebra of Noether symmetries for the Lagrangian minimizing an (n-1)-area enclosing a constant n-volume in a Euclidean space is so(n)⊕sℝn and in a space of constant curvature the Lie algebra is so(n). …”
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Higher Orbital Integrals, Cyclic Cocycles and Noncommutative Geometry by Yanli Song, Xiang Tang

“…Orbital integrals define traces on the group algebra of G. We introduce a construction of higher orbital integrals in the direction of higher cyclic cocycles on the Harish-Chandra Schwartz algebra of G. …”
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Celestial $w_{1+\infty}$ charges and the subleading structure of asymptotically-flat spacetimes by Marc Geiller

“…We study the subleading structure of asymptotically-flat spacetimes and its relationship to the $w_{1+∞}$ loop algebra of higher spin charges. We do so using both the Bondi–Sachs and the Newman–Penrose formalism, via a dictionary built from a preferred choice of tetrad. …”
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New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces by Abdelkarim Kari, Mohamed Rossafi, El Miloudi Marhrani, Mohamed Aamri

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Some Remarks on Fixed Point Theorems for Interpolative Kannan Contraction by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

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Identifying optimal large N limits for marginal ϕ 4 theory in 4d by Nadia Flodgren

“…Abstract We apply our previously developed approach to marginal quartic interactions in multiscalar QFTs, which shows that one-loop RG flows can be described in terms of a commutative algebra, to various models in 4d. We show how the algebra can be used to identify optimal scalings of the couplings for taking large N limits. …”
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The dynamical U(n) quantum group by Erik Koelink, Yvette Van Norden

“…We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix given by Etingof and Varchenko. …”
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Fixed Point Theorems for α,k,θ,φ-Contraction Multivalued Mappings in b-Metric Space by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

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On $p$-convexification of the Banach-Kantorovich lattice by Gavhar B. Zakirova

“…Let $B$ be a complete Boolean algebra, $Q(B)$ the Stone compact of $B$, and let $C_\infty (Q(B))$ be the commutative unital algebra of all continuous functions $x: Q(B) \to [-\infty, +\infty]$, assuming possibly the values $\pm\infty$ on nowhere-dense subsets of $Q(B)$. …”
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Best Proximity Point for Generalized and S-Geraphty Contractions by Abdelhafid Bassou, Taoufik Sabar, Mohamed Aamri

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Higher Ring Derivation and Intuitionistic Fuzzy Stability by Ick-Soon Chang

“…We take account of the stability of higher ring derivation in intuitionistic fuzzy Banach algebra associated to the Jensen type functional equation. …”
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Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

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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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