A study About Clean and Quasi- CleanRings


Abstract in English

The purpose of this paper is studying some properties of clean, semi-clean and quasi-clean rings, and study the relationship between these rings. A ring is called clean if each of its element is the sum of an idempotent and a unit, a ring is called semi-clean if each of its element is the sum of an idempotent and a regular, a ring is called quasi-clean if each of its element is the sum of an idempotent and an pi .

References used

Jacobson, N 1956  Structure of Rings. Amer. Math. Soc. Coll. Publ
Goodearl, K.R, 1979 Von Neumann Regular Rings. Pitman, London
Kasch, F 1982  Modules and Rings. Academic Press, New York, p. 372

Download