Idempotents and structures of rings

DOI10.1080/03081087.2015.1134429zbMath1376.16023arXiv1507.06290OpenAlexW3101410873MaRDI QIDQ3179160

Ánh, Phạm Ngọc, Gary F. Birkenmeier, Leon van Wyk

Publication date: 20 December 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06290

zbMATH Keywords

idempotentannihilatorbimoduleessentialMorita contextgeneralized matrix ringformal matrix ringPeirce trivialideal extending

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Bimodules in associative algebras (16D20)

Related Items (10)

An introduction to q-central idempotents and q-abelian rings ⋮ Amalgamation rings and the fully invariant extending property ⋮ Unnamed Item ⋮ Radicals and idempotents II ⋮ Periodic elements and lifting connections ⋮ Peirce decompositions, idempotents and rings ⋮ Classification of nonsemicommutative rings ⋮ Bounds for the number of idempotents in finite rings ⋮ A survey of intrinsic extensions of rings ⋮ Idempotents of 2 × 2 matrix rings over rings of formal power series

Cites Work

• Unnamed Item
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• Isomorphisms between strongly triangular matrix rings.
• Automorphism groups of generalized triangular matrix rings.
• Hulls of semiprime rings with applications to \(C^*\)-algebras.
• Ideal intrinsic extensions with connections to PI-rings.
• Examples of semiperfect rings
• On the von Neumann regularity of rings with regular prime factor rings
• Addendum to ``Examples of semiperfect rings
• Triangular matrix representations
• Linear algebra in lattices and nilpotent endomorphisms of semisimple modules
• Twisted matrix units semigroup algebras
• Extensions of Rings and Modules
• Study of Morita contexts

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