Covering theorems for Artinian rings

zbMath0891.16015arXiv0801.0652MaRDI QIDQ4387013

Victor A. Bovdi, T. Krausz, Bela Brindza, Albert Borbe'ly

Publication date: 6 May 1998

Full work available at URL: https://arxiv.org/abs/0801.0652

zbMATH Keywords

torsion groupsJacobson radicalgroups of unitsArtinian ringsunions of subgroupssimple ringsdivisible groupsalgebraic extensionsunions of cosetsunions of subsemigroups

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Principal ideal rings (13F10) Finite fields (field-theoretic aspects) (12E20) Chains and lattices of subgroups, subnormal subgroups (20E15) Units, groups of units (associative rings and algebras) (16U60) Artinian rings and modules (associative rings and algebras) (16P20) Skew fields, division rings (12E15)

Related Items (5)

Covering modules by proper submodules ⋮ On the representation of fields as finite sums of proper subfields ⋮ A new infinite family of σ -elementary rings ⋮ Rings as the unions of proper subrings. ⋮ Covering numbers of commutative rings

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