Rings as the unions of proper subrings.

DOI10.1007/s10468-011-9277-3zbMath1267.16020arXiv1001.3984OpenAlexW2042381022MaRDI QIDQ694577

Attila Maróti, Andrea Lucchini

Publication date: 13 December 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3984

zbMATH Keywords

coveringsmatrix ringsfinite ringsunions of subrings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (12)

On the covering number of symmetric groups having degree divisible by six. ⋮ Covering modules by proper submodules ⋮ Finite coverings of semigroups and related structures ⋮ On the representation of fields as finite sums of proper subfields ⋮ Countably coverable rings ⋮ The covering numbers of rings ⋮ A new infinite family of σ -elementary rings ⋮ The Group-Theoretic Analog of Kuratowski’s Closure-Complement Theorem ⋮ Table bases as unions of proper closed subsets. ⋮ 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

• Groups as Unions of Proper Subgroups
• Covering theorems for Artinian rings
• Groups Which are the Union of Three Subgroups
• Unnamed Item

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