Decomposition of algebras over \(F_ q(X_ 1,\dots,X_ m)\)

DOI10.1007/BF01438277zbMath0813.16013OpenAlexW1986604446MaRDI QIDQ1320439

Lajos Rónyai, Gábor Ivanyos, Agnes Szanto

Publication date: 28 May 1995

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01438277

zbMATH Keywords

complexityalgorithmsfunction fieldJacobson radicalsemisimple algebrasimple algebrasfinite dimensional algebrastructure constants

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Parallel algorithms in computer science (68W10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Computational aspects of associative rings (general theory) (16Z05) Jacobson radical, quasimultiplication (16N20)

Related Items (8)

Finding the radical of an algebra of linear transformations ⋮ An identification system based on the explicit isomorphism problem ⋮ Algorithms for commutative algebras over the rational numbers ⋮ Computing explicit isomorphisms with full matrix algebras over \(\mathbb {F}_q(x)\) ⋮ Computing the bound of an Ore polynomial. Applications to factorization ⋮ Deciding finiteness for matrix semigroups over function fields over finite fields. A note on a paper by Rockmore, Tan, and Beals ⋮ Explicit isomorphisms of quaternion algebras over quadratic global fields ⋮ A note on locality of algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Decomposition of algebras over finite fields and number fields
• Computing the structure of finite algebras
• CHARACTERIZATION OF BLOW-UP FOR A SEMILINEAR HEAT EQUATION WITH A CONVECTION TERM
• Fast Probabilistic Algorithms for Verification of Polynomial Identities
• Factoring Polynomials Over Large Finite Fields

This page was built for publication: Decomposition of algebras over \(F_ q(X_ 1,\dots,X_ m)\)