Results 71 to 80 of about 26,636 (265)
2-Local Derivations on the Twisted Heisenberg–Virasoro Algebra
Advances in Mathematical Physics2-local derivation is a generalized derivation for a Lie algebra, which plays an important role to the study of local properties of the structure of the Lie algebra.
Yufang Zhao, Yongsheng Cheng
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FEBS Open Bio, EarlyView.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
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Norm Properties of $S$-Universal Operators
Communications in Advanced Mathematical Sciences, 2020 We investigate the norm properties of a generalized derivation on a norm ideal $\mathcal{J}$ in $\mathcal{B}(H)$, the algebra of bounded linear operators on a Hilbert space $H$.
Joshua Muholo, Job Bonyo
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GENERALIZED DERIVATIVES AND EXPANSIONS [PDF]
Proceedings of the National Academy of Sciences, 1955 Menger, Karl, Shü, S. S.
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Generalized Number Derivatives
, 2005 We generalize the concept of a number derivative, and examine one particular instance of a deformed number derivative for finite field elements. We find that the derivative is linear when the deformation is a Frobenius map and go on to examine some of its basic properties.
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Derivations, generalized derivations, and *-derivations of period 2 in rings
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: The aim of this article is to discuss the existence of certain kinds of derivations and \(^*\)-derivations that are of period 2. Moreover, we obtain the form of generalized reverse derivations and generalized left derivations of period 2.
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FEBS Open Bio, EarlyView.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
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Directed evolution of enzymes at the crossroads of tradition and innovation
FEBS Open Bio, EarlyView.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
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Generalized Hyers-Ulam Stability of Generalized (𝑁,𝐾)-Derivations
Abstract and Applied Analysis, 2009 Let 3≤𝑛, and 3≤𝑘≤𝑛 be positive integers. Let 𝐴 be an algebra and let 𝑋 be an 𝐴-bimodule. A ℂ-linear mapping 𝑑∶𝐴→𝑋 is called a generalized (𝑛,𝑘)-derivation if there exists a (𝑘−1)-derivation 𝛿∶𝐴→𝑋 such that 𝑑(𝑎1𝑎2⋯𝑎𝑛)=𝛿(𝑎1)𝑎2⋯𝑎𝑛+𝑎1𝛿(𝑎2)𝑎3⋯𝑎𝑛+⋯+𝑎1𝑎2⋯𝑎𝑘−2𝛿(
M. Eshaghi Gordji +2 more
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ON GENERALIZED DERIVATIONS OF BCH-ALGEBRAS
Journal of the Chungcheong Mathematical Society, 2014 In this paper, we introduce the notion of a generalized derivation in a BE-algebra, and consider the properties of gen- eralized derivations. Also, we characterize the flxed set Fixd(X) and Kerd by generalized derivations. Moreover, we prove that if d is a generalized derivation of a BE-algebra, every fllter F is a d-invariant.
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