Results 51 to 60 of about 26,485 (265)
COMMUTING AND 2-COMMUTING DERIVATIONS OF SEMIPRIME RINGS
The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R, we obtain a derivation d is commuting and 2-commuting on R.
Mehsin Jabel Atteya +1 more
doaj +1 more source
On Generalized Permuting Left 3-Derivations of Prime Rings [PDF]
-Let R be an associative ring. Park and Jung introduced the concept of permuting 3-derivation and they are studied this concept as centralizing and commuting.
A. K. Faraj, S. J. Shareef
doaj +1 more source
A novel signature integrating genome‐wide analysis with clinical factors predicts recurrence in stage II colorectal cancer and enables a new risk stratification to guide postoperative adjuvant chemotherapy. Clinical risk stratification for postoperative recurrence in patients with pathological stage II (pStage II) colorectal cancer (CRC) is essential ...
Mayuko Otomo +7 more
wiley +1 more source
On Prime Near-Rings with Generalized Derivation
Let N be a 3-prime 2-torsion-free zero-symmetric left near-ring with multiplicative center Z. We prove that if N admits a nonzero generalized derivation f such that f(N)⊆Z, then N is a commutative ring. We also discuss some related properties.
Howard E. Bell
doaj +1 more source
Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
wiley +1 more source
The dual roles of CC and CXC chemokines in distinguishing active, latent, and subclinical tuberculosis were reviewed, along with an evaluation of their potential as diagnostic biomarkers and therapeutic targets to advance precision medicine in tuberculosis management. The graphical abstract was generated with AI assistance (Gemini 3.0).
Xuying Yin, Dangsheng Xiao, Jiezuan Yang
wiley +1 more source
Generalized Derivations in Rings and Their Applications to Banach Algebra
Let R be a prime ring, and let F denote a generalized derivation associated with a derivation d of R. Consider I as a nonzero ideal of R, and let m,n,k,l be fixed positive integers.
Amal S. Alali +3 more
doaj +1 more source
Asymptotic aspect of derivations in Banach algebras
We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra.
Jaiok Roh, Ick-Soon Chang
doaj +1 more source
Directed evolution of enzymes at the crossroads of tradition and innovation
An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova +2 more
wiley +1 more source
Superstability of Generalized Higher Derivations
We define the notion of an approximate generalized higher derivation and investigate the superstability of strong generalized higher derivations.
T. L. Shateri
doaj +1 more source

