… in the ring is central. Since Courter [3, Theorem 1.3] noted that every idempotent in a right
duo ring is central, we can simply speak of right duo pp rings. A typical example of a …

… (1) We find a right π-duo ring but not weakly right duo by help of constructions in [3, … right
pp ring is easily shown to be reduced as we see in [16, Lemma 1(1)], and so it also left pp…

… rings all of whose non-zero factor rings are right pp rings. Throughout this paper "a ring" means
"a non-zero associative ring … Let R' be a right duo pp ring with classical right quotient ring …

… A ring R is right (left) duo if e~-cl.y right (left) ideal is an ideal. It was shown in [5] that a ring
is right duo if a~ld only if every factor ring of I? is strongly right hu~ided. In this palxr. wr give a …

… domains, and R/J(R) is a subdirect product of division rings, where N*(R) (J(R)… right FD
rings, division rings, commutative rings, right duo rings and simple rings, in relation to matrix rings…

… A ring R is said to be right duo if right ideals of R are two-sided. It is easy to check that R is
a right duo ring if and only if Rej(R, R/I) = I for every right ideal I of R. In this article, we study …

… properties of right pp rings and generalized right pp rings, etc. First note that Baer rings have
… result on weakly right duo pp rings and a similar one on right Ore rings that are generalized …

… Obviously, a subring of a right duo ring need not be right duo. There are, however, a few …
graded rings: if a monoid-graded ring ⊕ m∈M Rm is right duo then the subring R1 is right duo. …

… reversible rings and right duo rings are right Armendarizlike by Lemmas 1.1 and 1.2. So the
concept of Armendarizlike rings unifies reversible rings, right duo rings, and Armendariz rings…

… We study some properties of generalizations of commutative rings and relations between
them. We also show that for a right quasi-duo right weakly r-regular ring R, R is an (S, 2)-ring if …