Dedekind-Finite Strongly Clean Rings

DOI10.1080/00927872.2012.746976zbMath1302.16034OpenAlexW1988832187MaRDI QIDQ5413982

Thomas J. Dorsey, Pace P. Nielsen, Victor P. Camillo

Publication date: 2 May 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.746976

zbMATH Keywords

Dedekind-finite ringsstrongly clean ringscapably clean ringsDedekind-finite modulesstrongly clean endomorphisms

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (4)

Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings ⋮ Utumi modules ⋮ 𝑛-torsion clean rings ⋮ When every endomorphism of a Σ-injective module is a sum of two commuting automorphisms

Cites Work

• Continuous modules are clean.
• Strongly clean matrix rings over commutative local rings.
• EXTENSIONS OF CLEAN RINGS
• On two open problems about strongly clean rings
• Countable Exchange and Full Exchange Rings
• Strongly clean rings and fitting's lemma
• Countable linear transformations are clean
• A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE
• A Question on Strongly Clean Rings

This page was built for publication: Dedekind-Finite Strongly Clean Rings