Results 171 to 180 of about 726,677 (214)

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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Finitely Related Clones and Algebras with Cube Terms

Order, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marković, Petar, Maróti, Miklós, McKenzie, Ralph   +2 more
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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
openaire   +3 more sources

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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Isomorphism Classes of Algebras with Radical Cube Zero II

Applied Categorical Structures, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kikumasa, Isao, Oshiro, Kiyoichi, Yoshimura, Hiroshi   +2 more
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Cube term blockers without finiteness

Algebra Universalis, 2016
We show that an idempotent variety has a d-dimensional cube term if and only if its free algebra on two generators has no d-ary compatible cross. We employ Hall’s Marriage Theorem to show that an idempotent variety $${\mathcal{V}}$$V of finite signature ...
K. Kearnes, Á. Szendrei
semanticscholar   +2 more sources

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(
openaire   +1 more source

Rubik’s cube and GeoGebra: a visual exploration of permutation groups

Revista do Instituto GeoGebra Internacional de São Paulo
This article aims to use the construction of the Rubik’s Cube in GeoGebra as a primary tool for visualization and manipulation in the teaching of permutation groups in Abstract Algebra.
Renata Teófilo de Sousa, F. Alves, A. P. Aires   +2 more
semanticscholar   +1 more source

The Terwilliger algebra of the halved folded 2n-cube from the viewpoint of its automorphism group action

Journal of Algebraic Combinatorics, 2022
Nanbin Cao, Sibo Chen, Na Kang, Lihang Hou   +3 more
semanticscholar   +1 more source

Holistic and Algebraic Data Cube Computation Using MapReduce

2017 9th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC), 2017
As an important method of accelerating large data analysis, data cube computing has been a hot area. At present, the researches based on MapReduce mainly focus on algebraic data cube. In this paper, we use MapReduce as the basis of the algorithm. For the algebraic data cube, data cube lattice is divided into several regions, according to different ...
Haile Yang, Chunyan Han
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