Results 21 to 30 of about 44,187 (190)
Algebraic entropy, symmetries and linearization of quad equations consistent on the cube [PDF]
Journal of Nonlinear Mathematical Physics, 2016 We discuss the non autonomous nonlinear partial difference equations belonging to Boll classification of quad graph equations consistent around the cube. We show how starting from the compatible equations on a cell we can construct the lattice equations, its Bäcklund transformations and Lax pairs.
Giorgio Gubbiotti +2 more
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A convergence on Boolean algebras generalizing the convergence on the Aleksandrov cube [PDF]
Czechoslovak Mathematical Journal, 2014 We compare the forcing related properties of a complete Boolean algebra B with the properties of the convergences $ _s$ (the algebraic convergence) and $ _{ls}$ on B generalizing the convergence on the Cantor and Aleksandrov cube respectively. In particular we show that $ _{ls}$ is a topological convergence iff forcing by B does not produce new ...
Miloš S. Kurilić, Aleksandar Pavlović
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Radical cube zero weakly symmetric algebras and support varieties
Journal of Pure and Applied Algebra, 2010 One of our main results is a classification all the weakly symmetric radical cube zero finite dimensional algebras over an algebraically closed field having a theory of support via the Hochschild cohomology ring satisfying Dade's Lemma. Along the way we give a characterization of when a finite dimensional Koszul algebra has such a theory of support in ...
Karin Erdmann, Øyvind Solberg
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The sensitivity conjecture, induced subgraphs of cubes, and Clifford algebras [PDF]
Journal of the European Mathematical Society, 2019 We give another version of Huang’s proof that an induced subgraph of the {n} -dimensional cube graph containing over half the vertices has maximal degree at least {\sqrt{n}} , which implies the Sensitivity Conjecture.
Daniel V. Mathews
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GROWTH RATES OF ALGEBRAS, I: POINTED CUBE TERMS [PDF]
Journal of the Australian Mathematical Society, 2016 We investigate the function $d_{\mathbf{A}}(n)$, which gives the size of a least size generating set for $\mathbf{A}^{n}$.
Keith A. Kearnes +2 more
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Cube-Type Algebraic Attacks on Wireless Encryption Protocols [PDF]
Computer, 2009 Formally evaluating the strengths of a given cryptosystem will ensure that no flaws have crept into the application. During our investigation, we adopted Armknecht and Krause's approach to model the E0 encryption function, which does not depend on memory bits and will hold for every clock tick.
Nikolaos Petrakos +3 more
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Boolean reducts of relation and cylindric algebras and the cube problem [PDF]
Proceedings of the American Mathematical Society, 1987 It is shown that not every Boolean algebra is the Boolean part of a nondiscrete relation or cylindric algebra, but every nonatomless Boolean algebra is. Solutions of Tarski’s Cube Problem for nondiscrete relation and cylindric algebras are given.
Hajnal Andréka
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EXT-FINITE MODULES FOR WEAKLY SYMMETRIC ALGEBRAS WITH RADICAL CUBE ZERO [PDF]
Journal of the Australian Mathematical Society, 2016 Assume that $A$ is a finite-dimensional algebra over some field, and assume that $A$ is weakly symmetric and indecomposable, with radical cube zero and radical square nonzero. We show that such an algebra of wild representation type does not have a nonprojective module $M$ whose ext-algebra is finite dimensional. This gives a complete classification of
Karin Erdmann
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On some subvarieties of IMTn-algebras and the partitions of the m-cube [PDF]
Algebra universalis, 2014 The aim of this paper is to study the variety \({\mathbb{IMT}n}\) and some of its subvarieties. After proving some general properties of IMTn-chains, we characterize IMT4-chains and we provide a complete description of some subvarieties of \({\mathbb{IMT}4}\).
Juan M. Cornejo, Laura A. Rueda
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Cube algebra on multidimentional database.
Journal of Computer Science and Cybernetics, 2012 Nguyễn Kim Anh
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