Bulletin of the Korean Mathematical Society (대한수학회보)

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STRONGLY CLEAN MATRIX RINGS OVER NONCOMMUTATIVE LOCAL RINGS

  • Li, Bingjun (DEPARTMENT OF MATHEMATICS AND SYSTEMS SCIENCE NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY)
  • Published : 2009.01.31
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Abstract

An element of a ring R with identity is called strongly clean if it is the sum of an idempotent and a unit that commute, and R is called strongly clean if every element of R is strongly clean. Let R be a noncommutative local ring, a criterion in terms of solvability of a simple quadratic equation in R is obtained for $M_2$(R) to be strongly clean.

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References

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