Results 251 to 260 of about 385,134 (275)

Degree of matrix relation algebras

Algebra Universalis, 2002
The concept of a basis of degree at least \(N\) for a matrix relation algebra was introduced by R. D. Maddux in 1983. The authors use it to define a relation algebra of degree at least \(N\). It is shown that a relation algebra and its \(n\)-matrix relation algebra have the same degree. An intermediate result relates the degree of a relation algebra to
el Bachraoui, M., van de Vel, M.L.J.
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Degree Stable Lie Algebras I

Algebra Colloquium, 2006
We define a degree stable Lie algebra. Since the special type Lie algebra S+(2) is degree stable, we find the automorphism group Aut Lie (S+(2)) of the Lie algebra S+(2) and prove the Jacobian conjecture of the Lie algebra S+(2).
Nam, Ki-Bong, Choi, Seul Hee
openaire   +1 more source

Bounded degree of algebraic topological algebras

Communications in Algebra, 1994
We give a short proof of theorems of Kaplansky and Slin'ko concerning the bounded degree of certain associative or Jordan algebraic topological algebras. This new proof even works for power-associative algebras.
Bienvenido Cuartero, José E. Galé
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Monadic Algebras with finite degree

Algebra Universalis, 1975
A monadic algebraA has finite degreen ifA/M has at most 2n elements for every maximal idealM ofA and this bound is obtained for someM. Every countable monadic algebra with a finite degree is isomorphic to an algebra Γ(X, S) whereX is a Boolean space andS is a subsheaf of a constant sheaf with a finite simple stalk.
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Bounded degree of weakly algebraic topological Lie algebras

manuscripta mathematica, 1993
It is known that under some topological conditions, algebraic algebras over a field are necessarily algebraic of bounded degree. A simple proof of this, valid for power-associative algebras is given by \textit{B. Cuartero} and \textit{J. E. Galé} [Commun. Algebra 22, 329-337 (1994; Zbl 0837.17002)].
Cuartero, Bienvenido, Galé, José E., Rodríguez Palacios, Angel, Slinko, Arkadii M.   +3 more
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Algebraic degree of Cayley graphs over abelian groups and dihedral groups

Journal of Algebraic Combinatorics, 2022
Lu Lu, Katja Mönius
exaly  

Algebraic degree of spectra of Cayley hypergraphs

Discrete Applied Mathematics, 2022
Yotsanan Meemark
exaly  

The algebraic degree of spectra of circulant graphs

Journal of Number Theory, 2020
Katja Mönius
exaly  

Hypergraph Turán densities can have arbitrarily large algebraic degree

Journal of Combinatorial Theory Series B, 2023
Xizhi Liu, Oleg Pikhurko
exaly  

Structure Theory for Algebraic Algebras of Bounded Degree

The Annals of Mathematics, 1945
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