Results 21 to 30 of about 43 (43)

Generalized periodic rings

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 87-92, 1996., 1995
Let R be a ring, and let N and C denote the set of nilpotents and the center of R, respectively. R is called generalized periodic if for every x ∈ R\(N ⋃ C), there exist distinct positive integers m, n of opposite parity such that xn − xm ∈ N ⋂ C. We prove that a generalized periodic ring always has the set N of nilpotents forming an ideal in R.
Howard E. Bell, Adil Yaqub
wiley   +1 more source

Direct sums of J‐rings and radical rings

International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 531-534, 1995., 1994
Let R be a ring, J(R) the Jacobson radical of R and P the set of potent elements of R. We prove that if R satisfies (∗) given x, y in R there exist integers m = m(x, y) > 1 and n = n(x, y) > 1 such that xmy = xyn and if each x ∈ R is the sum of a potent element and a nilpotent element, then N and P are ideals and R = N ⊕ P.
Xiuzhan Guo
wiley   +1 more source

Idempotent McCoy Rings and Their Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces idempotent McCoy rings, extending McCoy rings by incorporating idempotent elements, and explores their key properties. We provide examples and a counterexample showing that not every idempotent McCoy ring is McCoy. Our results show that if B is a Boolean ring, then the upper triangular matrix ring TnB is idempotent McCoy, but this
Asma Ali, Amal S. Alali, Shafahat Hussain, Smritijit Sen   +3 more
wiley   +1 more source

On rings with prime centers

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 667-670, 1994., 1993
Let R be a ring, and let C denote the center of R. R is said to have a prime center if whenever ab belongs to C then a belongs to C or b belongs to C. The structure of certain classes of these rings is studied, along with the relation of the notion of prime centers to commutativity. An example of a non‐commutative ring with a prime center is given.
Hazar Abu-Khuzam, Adil Yaqub
wiley   +1 more source

Infant mental health integration into OB care leads to increased connection to services during the perinatal period

Infant Mental Health Journal: Infancy and Early Childhood, Volume 46, Issue 1, Page 95-111, January 2025.
Abstract We compared referrals and connection to care between perinatal patients: 90 receiving OB/GYN care in clinics with integrated behavioral health consultants with infant mental health specialization (IMH‐BHC), and 68 receiving traditional care, in the United States.
Jennifer M. Jester, Cierra Bengel, Meriam Issa, Michelle Duprey, Jessica L. Riggs, Charity M. Hoffman, Sharnita D. Harris, Maria Muzik, Katherine Lisa Rosenblum   +8 more
wiley   +1 more source

A Pair of Generalized (α, α)‐Derivations With Identities Related to Prime Ideals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Let A be an arbitrary ring, α an automorphism of A, I a nonzero ideal of A, and ϒ a prime ideal of A satisfying the condition ϒ⊊αI. This research investigates the interplay between two generalized (α, α)‐derivations, Ω and G (associated with (α, α)‐derivations f and h, respectively), and the resulting characteristics of the quotient ring A/ϒ.
Ali Yahya Hummdi, Hafedh Alnoghashi, Radwan Mohammed Al-Omary, Abdelkarim Boua, Faranak Farshadifar   +4 more
wiley   +1 more source

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Semigroups and Rings Whose Zero Products Commute

Communications in Algebra, 1999
Victor P. Camillo, D D Anderson
exaly  

On Pseudo-Commutatmty and Commutativity in Rings

Quaestiones Mathematicae, 1994
Howard E Bell
exaly  

Rings Whose Idempotents Form a Multiplicative Set

Communications in Algebra, 2012
Karin Cvetko-Vah, Jonathan Leech
exaly  

Graphs of Commutatively Closed Sets

Linear and Multilinear Algebra, 2022
exaly