Results 21 to 30 of about 1,582,415 (334)
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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Differential algebraic Lie algebras [PDF]
Transactions of the American Mathematical Society, 1979 A class of infinite-dimensional Lie algebras over the field K \mathcal {K} of constants of a universal differential field U \mathcal {U} is studied. The simplest case, defined by homogeneous linear differential equations, is analyzed in detail, and those with underlying set
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Duality for convex monoids [PDF]
, 2015 Every C*-algebra gives rise to an effect module and a convex space of states, which are connected via Kadison duality. We explore this duality in several examples, where the C*-algebra is equipped with the structure of a finite-dimensional Hopf algebra ...
Roumen, Frank, Roy, Sutanu
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Sketching as a Tool for Numerical Linear Algebra [PDF]
Foundations and Trends® in Theoretical Computer Science, 2014 This survey highlights the recent advances in algorithms for numericallinear algebra that have come from the technique of linear sketching,whereby given a matrix, one first compresses it to a much smaller matrixby multiplying it by a (usually) random ...
David P. Woodruff
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Self-Dual Normal Basis of a Galois Ring
Journal of Mathematics, 2014 Let R′=GR(ps,psml) and R=GR(ps,psm) be two Galois rings. In this paper, we show how to construct normal basis in the extension of Galois rings, and we also define weakly self-dual normal basis and self-dual normal basis for R′ over R, where R′ is ...
Irwansyah +3 more
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Combinatorial algebra for second-quantized Quantum Theory [PDF]
, 2010 We describe an algebra G of diagrams that faithfully gives a diagrammatic representation of the structures of both the Heisenberg–Weyl algebra H – the associative algebra of the creation and annihilation operators of quantum mechanics – and U(LH), the ...
Blasiak, Pawel +4 more
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Cohomology of Presheaves of Monoids
Mathematics, 2020 The purpose of this work is to extend Leech cohomology for monoids (and so Eilenberg-Mac Lane cohomology of groups) to presheaves of monoids on an arbitrary small category.
Pilar Carrasco, Antonio M. Cegarra
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