Examples of strongly clean rings
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2019.1588980
Abstract: Abstract A ring is called strongly clean if each of its elements can be written as the sum of an idempotent and a unit which commute. In this paper, we deal with two questions: first,… read more here.
Keywords: clean ring; ring strongly; strongly clean; clean rings ... See more keywords
Idempotent elements and uniquely clean property of skew monoid rings
Sign Up to like & getrecommendations! Published in 2018 at "Studia Scientiarum Mathematicarum Hungarica"
DOI: 10.1556/012.2018.55.1.1376
Abstract: Let R be a ring with an endomorphism σ and F ∪ {0} the free monoid generated by U = {u1, ..., ut} with 0 added, and M = F ∪ {0}/(I) where I is… read more here.
Keywords: skew monoid; uniquely strongly; strongly clean; idempotent elements ... See more keywords