Results 11 to 20 of about 1,582,415 (334)
Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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Nijenhuis algebras, NS algebras, and N-dendriform algebras [PDF]
Frontiers of Mathematics in China, 2012 arXiv admin note: text overlap with arXiv:math ...
Lei, Peng, Guo, Li
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Baxter algebras and Hopf algebras [PDF]
Transactions of the American Mathematical Society, 2003 By applying a recent construction of free Baxter algebras, we obtain a new class of Hopf algebras that generalizes the classical divided power Hopf algebra. We also study conditions under which these Hopf algebras are isomorphic.
Andrews, George E. +3 more
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Omni-Lie 2-algebras and their Dirac structures [PDF]
, 2011 We introduce the notion of omni-Lie 2-algebra, which is a categorification of Weinstein's omni-Lie algebras. We prove that there is a one-to-one correspondence between strict Lie 2-algebra structures on 2-sub-vector spaces of a 2-vector space $\V$ and ...
Baez +14 more
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Filtered algebraic algebras [PDF]
Proceedings of the American Mathematical Society, 2010 Small and Zelmanov posed the question whether every element of a graded algebra over an uncountable field must be nilpotent, provided that the homogeneous elements are nilpotent. This question has recently been answered in the negative by A. Smoktunowicz.
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Journal of Geometry and Physics, 2001 We consider supersymmetry algebras in space-times with arbitrary signature and minimal number of spinor generators. The interrelation between super Poincar and super conformal algebras is elucidated. Minimal super conformal algebras are seen to have as bosonic part a classical semimisimple algebra naturally associated to the spin group. This algebra,
D'AURIA, RICCARDO +3 more
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Generically algebraic algebras [PDF]
Transactions of the American Mathematical Society, 1967 The notion of generic minimum polynomial and generic norm for finite-dimensional strictly power-associative algebras, introduced by \textit{N. Jacobson} [J. Reine Angew. Math. 201, 178--195 (1959; Zbl 0084.03601), and Osaka Math. J. 15, 25--50 (1963; Zbl 0199.07201)] are extended here to infinite-dimensional power-associative algebras which are ...
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Braided Weyl algebras and differential calculus on U(u(2)) [PDF]
, 2011 On any Reflection Equation algebra corresponding to a skew-invertible Hecke symmetry (i.e. a special type solution of the Quantum Yang-Baxter Equation) we define analogs of the partial derivatives.
Berezin +22 more
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Logical Methods in Computer Science, 2017 In this paper we investigate important categories lying strictly between the Kleisli category and the Eilenberg-Moore category, for a Kock-Z\"oberlein monad on an order-enriched category. Firstly, we give a characterisation of free algebras in the spirit of domain theory.
Hofmann, Dirk, Sousa, Lurdes
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, 2010 Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra.
Issa, A. Nourou
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