شماره ركورد كنفرانس :
3502
عنوان مقاله :
DECOMPOSING ELEMENTS OF A REGULAR BAER RING
Author/Authors :
N Ashrafi School of Mathematics - Semnan University , N Pouyan School of Mathematics - Semnan University
كليدواژه :
unit sum number , regular Baer ring , π-regular Baer ring , right perpetual ideal , twin-good ring
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
: In this paper we prove that each element of any regular Baer ring is a sum of two units if no factor ring of R is isomorphic to Z2. Also we show this result for some classes of π-regular Baer rings. The main result of [14] states some conditions that any right self-injective ring R is twin-good. We extend this result to any regular Baer ring R by proving that every element of a regular Baer ring is twin-good if and only if R has no factor ring isomorphic to Z2 or Z3.
