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Sets of Elements that Pairwise Generate a Matrix Ring

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Publication:2888566
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DOI10.1080/00927872.2010.544275zbMath1248.16025OpenAlexW2043808356MaRDI QIDQ2888566

Eleonora Crestani

Publication date: 1 June 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2010.544275


zbMATH Keywords

generatorscoveringsmatrix ringsfinite ringsunions of subrings


Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Linear algebraic groups over finite fields (20G40) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Algebraic systems of matrices (15A30)


Related Items (5)

The covering numbers of rings ⋮ A new infinite family of σ -elementary rings ⋮ Covering numbers of commutative rings ⋮ Maximal Subrings and Covering Numbers of Finite Semisimple Rings ⋮ Covering numbers of upper triangular matrix rings over finite fields



Cites Work

  • A condition for matchability in hypergraphs
  • Sets of elements that pairwise generate a linear group


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