On Strongly Clean Matrix and Triangular Matrix Rings
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Publication:3422809
DOI10.1080/00927870600860791zbMath1114.16024OpenAlexW2138120942MaRDI QIDQ3422809
Xiande Yang, Yiqiang Zhou, Jian-Long Chen
Publication date: 14 February 2007
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870600860791
unitsidempotentstriangular matrix ringsstrongly clean ringscommutative local ringscommutative semiperfect rings
Endomorphism rings; matrix rings (16S50) Units, groups of units (associative rings and algebras) (16U60)
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Cites Work
- Unnamed Item
- EXTENSIONS OF CLEAN RINGS
- A CHARACTERIZATION OF UNIT REGULAR RINGS
- COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
- On two open problems about strongly clean rings
- On strongly πregular rings and homomorphisms into them
- Strongly clean rings and fitting's lemma
- Exchange rings, units and idempotents
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