Results 11 to 20 of about 1,217,812 (237)
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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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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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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Algebraic Algebras with Involution [PDF]
Proceedings of the American Mathematical Society, 1972 The following theorem is proved: Let R R be an algebra with involution over an uncountable field F F . Then if the symmetric elements of R R are algebraic, R R is algebraic.
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ALGEBRAIC CUNTZ–KRIEGER ALGEBRAS [PDF]
Journal of the Australian Mathematical Society, 2019 We show that a directed graph $E$ is a finite graph with no sinks if and only if, for each commutative unital ring $R$, the Leavitt path algebra $L_{R}(E)$ is isomorphic to an algebraic Cuntz–Krieger algebra if and only if the $C^{\ast }$-algebra $C^{\ast }(E)$ is unital and $\text{rank}(K_{0}(C^{\ast }(E)))=\text{rank}(K_{1}(C^{\ast }(E)))$.
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Compositio Mathematica, 2013 AbstractWe develop some basic homological theory of hopfological algebra as defined by Khovanov [Hopfological algebra and categorification at a root of unity: the first steps, Preprint (2006), arXiv:math/0509083v2]. Several properties in hopfological algebra analogous to those of usual homological theory of DG algebras are obtained.
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Advances in Mathematics, 2008 We construct algebras from rhombohedral tilings of Euclidean space obtained as projections of certain cubical complexes. We show that these `Cubist algebras' satisfy strong homological properties, such as Koszulity and quasi-heredity, reflecting the combinatorics of the tilings.
Chuang, Joseph, Turner, W
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