Idempotent lifting and ring extensions

DOI10.1142/S0219498816501127zbMath1345.16041OpenAlexW2289230615WikidataQ105369821 ScholiaQ105369821MaRDI QIDQ2803566

Samuel J. Dittmer, Pace P. Nielsen, Alexander J. Diesl

Publication date: 2 May 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498816501127

zbMATH Keywords

Jacobson radicallocalizationsenabling idealslifting idempotentsperspective summands

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Conditions on elements (16U99) Ideals in associative algebras (16D25) Jacobson radical, quasimultiplication (16N20) Extensions of associative rings by ideals (16S70) Associative rings of fractions and localizations (16S85)

Related Items (15)

Perspectivity, exchange and summand-dual-square-free modules ⋮ IC rings and transitivity of perspectivity ⋮ Direct complements almost unique ⋮ Idempotent chains and bounded generation of \(\mathrm{SL}_2\) ⋮ Rings with transitive chaining of idempotents ⋮ Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings ⋮ C4- and D4-Modules via perspective direct summands ⋮ Generalizations of projectivity and supplements revisited for superfluous ideals ⋮ An ensemble of idempotent lifting hypotheses ⋮ Lifting properties of formal triangular matrix rings ⋮ Structural results on lifting, orthogonality and finiteness of idempotents ⋮ Transitivity of perspectivity ⋮ U-Modules with transitive perspectivity ⋮ Perspectivity and von Neumann regularity ⋮ N-chained semigroups and -perspective modules and rings

Cites Work

• Unnamed Item
• Exercises in classical ring theory.

This page was built for publication: Idempotent lifting and ring extensions