Universal graph description for one-dimensional exchange models by Jean Decamp, Jiangbin Gong, Huanqian Loh, Christian Miniatura

“…Their well-studied spectral properties allow us to derive crucial information about those models of fundamental importance in both classical and quantum physics, and to completely characterize their algebraic structure. Notably, we prove that the spectral gap can be obtained in polynomial computational time, which has strong implications in the context of adiabatic quantum computing with quantum spin chains. …”
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Distribution Bisimilarity via the Power of Convex Algebras by Filippo Bonchi, Alexandra Silva, Ana Sokolova

“…To do so, we make explicit the convex algebraic structure present in PA and identify belief-state transformers as transition systems with state space that carries a convex algebra. …”
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On skew cyclic codes over $ M_{2}(\mathbb{F}_{2}) $ by Xuesong Si, Chuanze Niu

“…The algebraic structure of skew cyclic codes over $ M_{2} $($ \mathbb{F}_2 $), using the $ \mathbb{F}_4 $-cyclic algebra, is studied in this work. …”
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Orthogonal Gyrodecompositions of Real Inner Product Gyrogroups by Milton Ferreira, Teerapong Suksumran

“…The left (right) cosets are characterized using gyrolines (cogyrolines) together with automorphisms of the subgyrogroup. With the algebraic structure of the decompositions, we study fiber bundles and sections inherited by the gyroprojectors. …”
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On Extendibility of Evolution Subalgebras Generated by Idempotents by Farrukh Mukhamedov, Izzat Qaralleh

“…This paper’s findings shed light on the field of algebraic structures, particularly in studying evolution algebras. …”
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Nonessential sum graph of an Artinian ring by Bikash Barman, Kukil Kalpa Rajkhowa

“…Purpose – The authors study the interdisciplinary relation between graph and algebraic structure ring defining a new graph, namely “non-essential sum graph”. …”
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Lie Bialgebras on the Rank Two Heisenberg–Virasoro Algebra by Yihong Su, Xue Chen

“…Since the Lie brackets of rank two Heisenberg–Virasoro algebra are different from that of the twisted Heisenberg–Virasoro algebra and Virasoro-like algebras, and there are inner derivations (from itself to its tensor space) which are hidden more deeply in its interior algebraic structure, some new techniques and strategies are employed in this paper. …”
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The wiener index of the zero-divisor graph for a new class of residue class rings by Yinhu Wei, Ricai Luo

“…The main problem of the study of graphs defined on algebraic structure is to recognize finite rings through the properties of various graphs defined on it. …”
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Feeling of hand deformation as a monkey's hand: an experiment on a visual body with discomfort and its algebraic analysis by Yang Ruijia, Hirokazu Sakura, Yukio-Pegio Gunji

“…The ambiguity of the presence and absence of the thumb is finally analyzed with a specific algebraic structure called a lattice. This can help us understand disownership as being different from the absence of ownership.…”
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Calculer la sémantique avec le langage IEML by Pierre Lévy

“…IEML has the same expressive capacity as a natural language and has an algebraic structure allowing the calculation of its semantics. …”
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The Properties of Intuitionistic Anti Fuzzy Module t-norm and t-conorm by Ongky Denny Wijaya, Abdul Rouf Alghofari, Noor Hidayat, Mohamad Muslikh

“…Now, many of researcher connecting intuitionistic fuzzy set with algebraic structure. We interested to combine some concepts over intuitionistic fuzzy set, module of a ring, t-norm, t-conorm, and intuitionistic anti fuzzy. …”
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Emergent Times in Holographic Duality by Leutheusser, Samuel Aaron Wehlau

“…A key element is the emergence, in the large N limit of the boundary theory, of a type III1 von Neumann algebraic structure from the type I boundary operator algebra and the half-sided modular translation structure associated with it. …”
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Quasi-cyclic codes by Güneri, Cem, Ling, San, Özkaya, Buket

“…This chapter focuses on the algebraic structure of quasi-cyclic codes, first. Based on these structural properties, some asymptotic results, a few minimum distance bounds and further applications such as the trace representation and characterization of certain subfamilies of quasi-cyclic codes are elaborated. …”
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An Exact Formulation of the Time-Ordered Exponential using Path-Sums by Giscard, P, Lui, K, Thwaite, S, Jaksch, D

“…Our result is based on a representation of the time-ordered exponential as the inverse of an operator, the mapping of this inverse to sums of walks on graphs and the algebraic structure of sets of walks. We give examples demonstrating our approach. …”

VOAs and rank-two instanton SCFTs by Beem, C, Meneghelli, C, Peelaers, W, Rastelli, L

“…These realizations transparently reflect the algebraic structure of the Higgs branches of these theories. …”

C-infinity algebraic geometry with corners by Francis-Staite, K, Joyce, D

“…If X is a manifold then the set C∞(X) of smooth functions f:X→ℝ is a C∞-ring, a rich algebraic structure with many operations. C∞-schemes are schemes over C∞-rings, a way of using Algebro-Geometric techniques in Differential Geometry. …”

A Study on the Centroid of a Class of Solvable Lie Algebras by Demin Yu, Chan Jiang, Jiejing Ma

“…The centroid of Lie algebra is a basic concept and a necessary tool for studying the structure of Lie algebraic structure. The extended Heisenberg algebra is an important class of solvable Lie algebras. …”
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Non-Abelian fracton order from gauging a mixture of subsystem and global symmetries by Yi-Ting Tu, Po-Yao Chang

“…Furthermore, by constraining the local Hilbert space, the magnetic fluxes with different geometry (tube-like and plaquette-like) satisfy a subalgebra of the quantum double models (QDMs). This algebraic structure leads to an identification of the magnetic fluxes to the conjugacy classes of the symmetry.…”
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Algebraic characterization of Ifa main divination codes by Adeyemi Sunday Olagunju, Adewale Adeyemi James, Emmanuel Oluseye Adeyefa, Folake Lois Joseph

“…We consider the algebraic structure of this divination system by writing the codes representing the main Odu as 4 × 2 matrices which are found to satisfy group axioms under addition mod 2. …”
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Non Deterministic Zero Divisor Graph by Shakila Banu, Naveena Selvaraj

“…A non-deterministic zero divisor graph refers to an element in a ring or algebraic structure that can multiply with another element to give zero, but the specific outcome of the multiplication is not uniquely determined. …”
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