Results 161 to 170 of about 1,260 (192)

Cubes, homotopy and process algebra [PDF]

, 2008
In directed algebraic topology, the concurrent execution of n actions is abstracted by a full n-cube. Each coordinate corresponds to one of the n actions. This n-cube may be viewed as a representable presheaf of the category of precubical sets, as a topological n-cube equipped with some continuous paths modelling the possible execution paths up to ...
Gaucher, Philippe
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Modularity of strong normalization in the algebraic-λ-cube

Journal of Functional Programming, 1997
In this paper we present the algebraic-λ-cube, an extension of Barendregt's λ-cube with first- and higher-order algebraic rewriting. We show that strong normalization is a modular property of all the systems in the algebraic-λ-cube, provided that the first-order rewrite rules are non-duplicating and the higher-order rules satisfy the ...
Barbanera, F., Fernandez, M., Geuvers, J.H.   +2 more
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Tilting modules over Auslander algebras of Nakayama algebras with radical cube zero

International Journal of Algebra and Computation, 2021
Let [Formula: see text] be the Auslander algebra of a finite-dimensional basic connected Nakayama algebra [Formula: see text] with radical cube zero and [Formula: see text] simple modules. Then the cardinality [Formula: see text] of the set consisting of isomorphism classes of basic tilting [Formula: see text]-modules is [Formula: see text]
Zongzhen Xie, Hanpeng Gao, Zhaoyong Huang   +2 more
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Seeing Algebraic Structure: The Rubik's Cube

Mathematics Teacher: Learning and Teaching PK-12, 2020
Few high school students associate mathematics with playfulness. In this paper, we offer a series of lessons focused on the underlying algebraic structures of the Rubik's Cube. The Rubik's Cube offers students an interesting space to enjoy the playful side of mathematics, while appreciating mathematics otherwise lost in routine experiences.
Amanda Milewski, Daniel Frohardt
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Isomorphism Classes of Algebras with Radical Cube Zero II

Applied Categorical Structures, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Isao Kikumasa, Kiyoichi Oshiro, Hiroshi Yoshimura   +2 more
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On algebras with radical cube zero

Archiv der Mathematik, 1989
Let \(A\) be a finite dimensional algebra over an algebraically closed field \(k\) and suppose that \(A\) has cubed zero radical. We show that if \(\text{Ext}^i_A(DA,A)=0\) for all \(i\geq 1\) then \(A\) is self-injective, where \(D=\Hom_k(-,k)\), and that if \(A\) is self-injective then every finitely generated \(A\)-module \(M\) with \(\text{Ext}^i_A(
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The Cube of Kleene Algebras and the Triangular Prism of Multirelations

2009
We refine and extend the known results that the set of ordinary binary relations forms a Kleene algebra, the set of up-closed multirelations forms a lazy Kleene algebra, the set of up-closed finite multirelations forms a monodic tree Kleene algebra, and the set of total up-closed finite multirelations forms a probabilistic Kleene algebra.
Koki Nishizawa, Norihiro Tsumagari, Hitoshi Furusawa   +2 more
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Commutative Algebras with Radical Cube Zero

Communications in Algebra, 2003
Abstract We present “canonical forms” of finite dimensional (quasi-Frobenius) commutative algebras Λ over a field k such that the radical cubed is zero and Λ modulo the radical is a product of copies of k. We also determine the isomorphism classes of the algebras Λ over some typical fields.
Isao Kikumasa, Hiroshi Yoshimura
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COTRIPLE HOMOLOGY OF CROSSED 2-CUBES OF LIE ALGEBRAS

Journal of Algebra and Its Applications, 2013
The cotriple homology of crossed 2-cubes of Lie algebras is constructed and investigated. Namely, we calculate the cotriple homology of an inclusion crossed 2-cube of Lie algebras in terms of the bi-relative Chevalley–Eilenberg homologies. We also define in a natural way the Chevalley–Eilenberg homology of crossed 2-cubes of Lie algebras and study the
Donadze, G., Ladra, M.
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Algebraic Models for the Cube Connected Cycles and Shuffle Exchange Graphs

2011 IEEE International Conference on High Performance Computing and Communications, 2011
Interconnection networks often constrain the performance of multi-cores chips or parallel computers. Cube Connected Cycles (CCC) is an attractive interconnection network because of its symmetry, small constant node degree and a small diameter. This paper develops an algebraic model for the CCC using the direct product of a cyclic group and a finite ...
Meghanad D. Wagh, Khadidja Bendjilali
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