Results 51 to 60 of about 6,253 (262)
Local Generalized (α,β)-Derivations
The Scientific World Journal, 2014 We study local generalized (α,β)-derivations on algebras generated by their idempotents and give some important applications of our results.
Ajda Fošner
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REMARKS ON GENERALIZED DERIVATIONS IN ∗−PRIME RINGS [PDF]
Journal of Algebraic SystemsLet (R, ∗) be a ∗−prime ring with characteristic different from two, and L ̸= 0be a square closed ∗−Lie ideal of R. An additive mapping F : R −→ R is calleda generalized derivation on R if there exists a derivation d : R −→ R such thatF(xy) = F(x)y + xd ...
Radwan Al-omary
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Molecular Oncology, EarlyView.RNA profiling of circulating extracellular vesicles (EVs) from blood samples of men undergoing prostate biopsy identifies transcripts associated with clinically significant prostate cancer. Integrative analysis with public tumor datasets links EV‐derived gene signatures to tumor stage and progression‐free survival, highlighting CASP3, XRCC2, and RIT1 ...
Stefan Werner +14 more
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Tumor B‐cell infiltration in platinum‐treated advanced muscle‐invasive urothelial carcinoma
Molecular Oncology, EarlyView.Bladder tumors with higher pretreatment memory B‐cell infiltration were linked to longer survival after cisplatin chemotherapy, but not carboplatin. These tumors also showed more organized immune structures (tertiary lymphoid structures) and a shared pro‐inflammatory B‐cell‐rich community, suggesting that memory B cells may help identify patients most ...
Konrad Stawiski +10 more
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Molecular Oncology, EarlyView.Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
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Superstability of Generalized Higher Derivations
Abstract and Applied Analysis, 2011 We define the notion of an approximate generalized higher derivation and investigate the superstability of strong generalized higher derivations.
T. L. Shateri
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Molecular Oncology, EarlyView.The cell‐autonomous roles of interferon type 1 vary based on duration and intensity. While acute, robust signaling results in cancer cell cytotoxic effects, sustained, low‐level signaling is associated with tumor‐promoting effects. This review summarizes current research of IFN‐1 in cancer and within the clinical setting, with an emphasis on female ...
Ashlyn Conant +7 more
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The Structure of D-Derivations and Their Decomposition in Lie Algebras
MathematicsA D-derivation of a Lie algebra L is a linear map φ for which there exists a derivation D such that φ([x,y])=[φ(x),y]+[x,D(y)] for all x,y∈L. This paper presents explicit structural results concerning D-derivations in Lie algebras over arbitrary fields ...
Keli Zheng +3 more
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Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras
Abstract and Applied Analysis, 2010 We prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms on unital non-Archimedean Banach algebras and we investigate the superstability of ...
Madjid Eshaghi Gordji
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SOME IDENTITIES INVOLVING ENDOMORPHISMS OF PRIME RINGS [PDF]
Journal of Algebraic SystemsIn this paper we will extend some results on the commutativity of quotient rings proved in [1] and [11]. However, we will consider endomorphisms instead of derivations and generalized derivations, which is sufficient to obtain good results.
Abdelkarim Boua
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