Peirce decompositions, idempotents and rings

DOI10.1016/j.jalgebra.2020.08.003zbMath1468.16041arXiv1702.05261OpenAlexW3048469608MaRDI QIDQ2201070

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

Publication date: 25 September 2020

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

Full work available at URL: https://arxiv.org/abs/1702.05261

zbMATH Keywords

idempotentMorita contextgeneralized matrix ringPeirce decomposition\(n\)-Peirce ring\textbf{B}-trivial\textbf{J}-trivialPeirce trivial

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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 (7)

An introduction to q-central idempotents and q-abelian rings ⋮ Amalgamation rings and the fully invariant extending property ⋮ Matrix bispectrality of full rank one algebras ⋮ Radicals and idempotents II ⋮ Periodic elements and lifting connections ⋮ Bounds for the number of idempotents in finite rings ⋮ Idempotents of 2 × 2 matrix rings over rings of formal power series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isomorphisms between strongly triangular matrix rings.
• Modules over formal matrix rings.
• Automorphism groups of generalized triangular matrix rings.
• Matrix representations of finitely generated Grassmann algebras and some consequences.
• Triangular matrix representations
• Linear algebra in lattices and nilpotent endomorphisms of semisimple modules
• On Baer and quasi-Baer rings
• Extensions of Rings and Modules
• Isomorphisms between Morita context rings
• Idempotents and structures of rings
• TRIANGULAR MATRIX REPRESENTATIONS OF SEMIPRIMARY RINGS
• Left Valuation Rings and Simple Radical Rings

This page was built for publication: Peirce decompositions, idempotents and rings