Rings which are sums of finite fields

DOI10.1006/ffta.1998.0240zbMath0924.16021OpenAlexW2056386790MaRDI QIDQ1284214

Andrei V. Kelarev

Publication date: 31 October 1999

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1998.0240

zbMATH Keywords

semigroup ringscommutative semigroupsprincipal idealsgraded ringsfinite commutative ringsdirect sums of finite fields

Mathematics Subject Classification ID

Commutative semigroups (20M14) Ordinary and skew polynomial rings and semigroup rings (16S36) Graded rings and modules (associative rings and algebras) (16W50) Semigroup rings, multiplicative semigroups of rings (20M25) Structure of finite commutative rings (13M05)

Cites Work

• A sum of two locally nilpotent rings may be not nil
• On rings which are sums of two subrings
• Generalized polynomial identities and rings which are sums of two subrings
• On rings that are sums of two subrings
• Semigroup Rings and Semilattice Sums of Rings
• The preservation of some ring properties by semilattice sums
• A Class of Band-Graded Rings
• FINITENESS CONDITIONS FOR SPECIAL BAND GRADED RINGS
• A primitive ring which is a sum of two Wedderburn radical subrings
• An Answer to a Question of Kegel on Sums of Rings
• Universal sums of abelian subalgebras
• Radicals of semigroup rings of commutative semigroups
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