Results 41 to 50 of about 308 (83)

A note on semiprime rings with derivation

International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 413-415, 1997., 1996
Let R be a 2‐torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D : R → R a derivation. If d[x, y] + [x, y] ∈ Z or d[x, y] − [x, y] ∈ Z for all x, y ∈ I, then R is commutative.
Motoshi Hongan
wiley   +1 more source

Noncommutative generalizations of theorems of Cohen and Kaplansky [PDF]

, 2011
This paper investigates situations where a property of a ring can be tested on a set of "prime right ideals." Generalizing theorems of Cohen and Kaplansky, we show that every right ideal of a ring is finitely generated (resp.
A Kertész, AV Jategaonkar, AV Jategaonkar, AW Goldie, AW Goldie, BL Osofsky, BV Zabavs’kiĭ, D Eisenbud, DV Huynh, EG Evans Jr, G Krause, I Kaplansky, IS Cohen, JA Beachy, JC McConnell, JC Robson, JC Robson, JJ Koker, K Koh, K Koh, KR Goodearl, KR Goodearl, Manuel L. Reyes, ML Reyes, PF Smith, PF Smith, PF Smith, PM Cohn, R Gordon, SA Amitsur, SM Bhatwadekar, TY Lam, TY Lam, TY Lam, TY Lam, TY Lam, TY Lam, VR Chandran, VR Chandran   +38 more
core   +2 more sources

Generalized derivations with central values on lie ideals LIE IDEALS [PDF]

, 2014
Let R be a prime ring of H a generalized derivation and L a noncentral lie ideal of R. We show that if l^sH(l)l^t in Z(R) for all lin2 L, where s, t> 0 are fixed integers, then H(x) = bx for some b in C, the extended centroid of R, or R satisfies S4 ...
Rahmani, Venus, Sahebi, Shervin
core  

Immunotherapy using pullulan‐conjugated Der f 2 allergen in canine atopic dermatitis: An anti‐inflammatory agent‐sparing approach

Veterinary Dermatology, Volume 36, Issue 4, Page 443-452, August 2025.
Background – Allergen immunotherapy is used as aetiological treatment for canine atopic dermatitis (cAD). Objective – To assess the anti‐inflammatory agent‐sparing effect over 1 year of immunotherapy using pullulan‐conjugated recombinant Der f 2 (rDf2‐P). Conclusions and Clinical Relevance – Der f 2‐P immunotherapy can lead to a rapid reduction in anti‐
Masahiko Nagata, Jin Kozakai, Aya Yoshida, Kana Kameyama, Hiromi Oboso, Hisanori Muto, Shoji Ogino, Toshihiro Tsukui   +7 more
wiley   +1 more source

Skew $N$-Derivations on Semiprime Rings [PDF]

, 2012
For a ring $R$ with an automorphism $\sigma$, an $n$-additive mapping $\Delta:R\times R\times... \times R \rightarrow R$ is called a skew $n$-derivation with respect to $\sigma$ if it is always a $\sigma$-derivation of $R$ for each argument.
Wei Zhang, Wei Zhang, Xiaowei Xu, Xiaowei Xu, Yang Liu, Yang Liu   +5 more
core   +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

On superstability of derivations in Banach algebras

Open Mathematics
In this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized ...
Chang Ick-Soon, Kim Hark-Mahn, Roh Jaiok
doaj   +1 more source

Rank of elements of general rings in connection with unit-regularity

, 2018
We define the rank of elements of general unital rings, discuss its properties and give several examples to support the definition. In semiprime rings we give a characterization of rank in terms of invertible elements.
Stopar, Nik
core   +1 more source

A Note on Skew Derivations and Antiautomorphisms of Prime Rings

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity‐preserving maps to analyze these rings.
Faez A. Alqarni, Nadeem U. R. Rehman, Hafedh Alnoghashi, Junaid Nisar, Omar Al-Mallah, Ali Jaballah   +5 more
wiley   +1 more source

A Unified approach to the Structure Theory of PI-Rings and GPI-Rings [PDF]

, 2012
2010 Mathematics Subject Classification: 16R20, 16R50, 16R60, 16N60.We give short proofs, based only on basic properties of the extended centroid of a prime ring, of Martindale’s theorem on prime GPI-rings and (a strengthened version of) Posner’s theorem
Brešar, Matej
core