On right duo pp rings
AW Chatters, W Xue - Glasgow Mathematical Journal, 1990 - cambridge.org
… 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 …
duo ring is central, we can simply speak of right duo pp rings. A typical example of a …
On a generalization of right duo rings
NK Kim, TK Kwak, Y Lee - Bulletin of the Korean Mathematical …, 2016 - koreascience.kr
… (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…
pp ring is easily shown to be reduced as we see in [16, Lemma 1(1)], and so it also left pp…
[PDF][PDF] On right PP rings
Y Hirano, M Hongan, M Ohori - Math. J. Okayama Univ, 1982 - math.okayama-u.ac.jp
… 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 non-zero associative ring … Let R' be a right duo pp ring with classical right quotient ring …
On strongly bounded rings and duo rings
Y Hirano, CY Hong, JY Kim, JK Park - Communications in Algebra, 1995 - Taylor & Francis
… 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 …
is right duo if a~ld only if every factor ring of I? is strongly right hu~ided. In this palxr. wr give a …
Structures Related to Right Duo Factor Rings
H Chen, Y Lee, Z Piao - Kyungpook Mathematical Journal, 2021 - koreascience.kr
… 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…
rings, division rings, commutative rings, right duo rings and simple rings, in relation to matrix rings…
Strongly duo modules and rings
H Khabazian, S Safaeeyan… - Communications in …, 2010 - Taylor & Francis
… 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 …
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 …
[HTML][HTML] pp rings and generalized pp rings
C Huh, HK Kim, Y Lee - Journal of Pure and Applied Algebra, 2002 - Elsevier
… 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 …
… result on weakly right duo pp rings and a similar one on right Ore rings that are generalized …
Duo rings and Ore extensions
G Marks - Journal of Algebra, 2004 - Elsevier
… 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. …
graded rings: if a monoid-graded ring ⊕ m∈M Rm is right duo then the subring R1 is right duo. …
[PDF][PDF] On a ring property unifying reversible and right duo rings
NK Kim, Y Lee - Journal of the Korean Mathematical Society, 2013 - researchgate.net
… 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…
concept of Armendarizlike rings unifies reversible rings, right duo rings, and Armendariz rings…
[PDF][PDF] On right quasi-duo rings which are
NK Kim, Y Lee - Bull. Korean Math. Soc, 2000 - researchgate.net
… 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 …
them. We also show that for a right quasi-duo right weakly r-regular ring R, R is an (S, 2)-ring if …