Results 21 to 30 of about 46 (46)

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

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

239 σ-Lie Ideals with Derivations as Homomorphisms and Anti-homomorphisms

, 2007
Let R be a 2-torsion free σ-prime ring, U a nonzero σ-square closed Lie ideal of R and d a derivation of R which commutes with σ. If d acts as a homomorphism or an anti-homomorphism on U, Mathematics Subject Classification: 16W10, 16W25 ...
L Oukhtite, L Taoufiq, S Salhi
core  

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On a Combinatorial Commutativity Condition for Rings

Communications in Algebra, 2011
Yuanlin Li, Howard E Bell
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On the Centralizers of Derivations with Engel Conditions

Communications in Algebra, 2013
Cheng-Kai Liu
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Examples of Armendariz Rings

Communications in Algebra, 2010
Ramon Antoine
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Reversible Group Rings Over Commutative Rings

Communications in Algebra, 2007
Yuanlin Li, M M Parmenter
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