شماره ركورد كنفرانس :
5263
عنوان مقاله :
RINGS IN WHICH ELEMENTS ARE THE SUM OF A ZG-REGULAR ELEMENT WITH THE DIFFERENCE OF TWO ORTHOGONAL IDEMPOTENTS
پديدآورندگان :
Pouyan Neda neda.pouyan@gmail.com Shahid Chamran University of Ahvaz, Dashte Azadegan, Iran.
كليدواژه :
clean ring , feebly clean ring , ZG clean ring , feebly ZG clean ring
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
A ring R is called feebly ZG-clean, if every element, x can be written as x = r + e 1 − e 2 , where r is a ZG-regular element and e 1 ,e 2 are orthogonal idempotents of R. Feebly ZG-clean rings are generalizations of ZG-clean rings. In this article, some properties of Feebly ZG-clean rings are studied. Also we illustrate conditions under which feebly ZG-clean rings, feebly clean rings and semiperfect rings are equivalent.
