Clean Index of Rings

DOI10.1080/00927872.2010.538781zbMath1245.16031OpenAlexW2161891084WikidataQ57787792 ScholiaQ57787792MaRDI QIDQ5389016

Tsiu-Kwen Lee, Yiqiang Zhou

Publication date: 24 April 2012

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

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/242310/-1/26.pdf

zbMATH Keywords

unitsidempotentslocal ringsformal triangular matrix ringssemipotent ringsuniquely clean ringsclean indices

Mathematics Subject Classification ID

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

Rings whose clean elements are uniquely clean, Rings of Clean Index 4 and Applications, Exchange elements in rings, and the equation $XA-BX=I$, Weak clean index of a ring

Cites Work

• Unnamed Item
• Neat rings
• Strong lifting.
• EXTENSIONS OF CLEAN RINGS
• Study of formal triangular matrix rings
• Semiprime Algebras with Finiteness Conditions
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT