Uniquely Clean Elements in Rings

DOI10.1080/00927872.2013.879158zbMath1335.16025OpenAlexW2088984800MaRDI QIDQ5256697

Yiqiang Zhou, Dinesh Khurana, Pace P. Nielsen, Tsit-Yuen Lam

Publication date: 19 June 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.879158

zbMATH Keywords

unitsidempotentsstrongly clean elementsstrongly clean ringsuniquely clean ringsuniquely clean elements

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Units, groups of units (associative rings and algebras) (16U60)

Related Items (9)

CLEANNESS OF SKEW GENERALIZED POWER SERIES RINGS ⋮ Special clean elements, perspective elements and perspective rings ⋮ On uniquely clean elements ⋮ Characterizations of special clean elements and applications ⋮ NEC rings ⋮ Nil-clean and strongly nil-clean rings. ⋮ Rings whose clean elements are uniquely clean ⋮ Fusible rings ⋮ Special clean elements in rings

Cites Work

• Pseudo Drazin inverses in associative rings and Banach algebras
• Continuous modules are clean.
• Clean matrices and unit-regular matrices.
• EXTENSIONS OF CLEAN RINGS
• A CHARACTERIZATION OF UNIT REGULAR RINGS
• Strongly clean rings and fitting's lemma
• Exchange rings, units and idempotents
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT
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