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Advanced Intelligent Systems, Volume 8, Issue 1, January 2026.This article offers a comprehensive review of topic modeling techniques, tracing their evolution from inception to recent developments. It explores methods such as latent Dirichlet allocation, latent semantic analysis, non‐negative matrix factorization, probabilistic latent semantic analysis, Top2Vec, and BERTopic, highlighting their strengths ...
Pratima Kumari +6 more
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On Special Jordan Algebras [PDF]
Transactions of the American Mathematical Society, 1947 for a and b in e is called quasimultiplication, and any linear subspace X over 8 of e which is closed with respect to this operation forms a corresponding algebra W. We call an algebra isomorphic to such an algebra a special Jordan algebra and see that special Jordan algebras are commutative but not, in general, associative.
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Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
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Independent quantum systems and the associativity of the product of quantum observables
Zagadnienia Filozoficzne w Nauce, 2019 We start from the assumption that the real valued observables of a quantum system form a Jordan algebra which is equipped with a compatible Lie product characterizing infinitesimal symmetries, and ask whether two such systems can be considered as ...
Klaus Fredenhagen
doaj
Jordan and Local Multipliers on Certain Banach Algebras are Multipliers [PDF]
Sahand Communications in Mathematical AnalysisWe prove that every continuous Jordan multiplier $T$ from a $C^*$-algebra $A$ into a Banach $A$-bimodule $X$ is a multiplier. We also characterize continuous linear maps on $C^*$-algebras and standard operator algebras determined by preserving some ...
Abbas Zivari-Kazempour, Ahmad Minapoor
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Generalized Projective product of semi-rings
Wasit Journal of Computer and Mathematics ScienceThe concept of Differential algebra has been played an influential role in various directions of abstract algebra. This notation has been considered before fifty years ago with semi-ring and several types of rings.
mohd Shahoodh
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Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras
International Journal of Mathematics and Mathematical Sciences, 2011 Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, A is the closed subspace lattice including 0 an H, then A is a nest, accordingly alg A={T∈B(H):TN⊆N, ∀N∈A} is a nest algebra. It will be shown that of nest algebra,
Dangui Yan, Chengchang Zhang
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Jordan derivations of incidence algebras [PDF]
Rocky Mountain Journal of Mathematics, 2015 8 pages, to appear in Rocky Mountain J ...
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Quasi-definite primitive axial algebras of Jordan type half
, 2023 Ilya Gorshkov, Vsevolod Gubarev
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On Mappings That Preserve the Jordan Product: A Revisited Study
MathematicsWe study bijective maps between algebras that preserve Jordan-type products. More precisely, given algebras A and B, we consider maps Θ:A→B satisfying Θ(AB+BA)=Θ(A)Θ(B)+Θ(B)Θ(A) or, more generally, preserving the Jordan triple product Θ({A,B,C})={Θ(A),Θ ...
Vahid Darvish +3 more
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