Research Information System
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.67, no.1, pp.102-115, 2018 (ESCI)
A *-ring R is called a strongly *-clean ring if every element of R is the sum of a unit and a projection that commute with each other. In this paper, we explore strong *-cleanness of rings of continuous functions over spectrum spaces. We prove that a *-ring R is strongly *-clean if and only if R is an abelian exchange ring and C(X) (C*(X)) is *-clean, if and only if R is an abelian exchange ring and the classical ring of quotients q(C(X)) of C(X) is *-clean, where X is a spectrum space of R.