Results 1 to 10 of about 644,627 (253)
When in a multiplicative derivation additive?
International Journal of Mathematics and Mathematical Sciences, 1991 Our main objective in this note is to prove the following. Suppose R is a ring having an idempotent element e(e≠0, e≠1) which satisfies: (M1) xR=0 implies x=0.(M2) eRx=0 implies x=0 (and hence Rx=0 implies x=0).(M3) exeR(1−e)=0 implies ...
Mohamad Nagy Daif
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Additive Derivations of Incidence Modules
AxiomsLet R be an associative ring and M a left R-module. This paper examines the structural properties of the incidence module I(P,M), associated with a module M over a ring R and a locally finite poset P.
Hailou Yao, Dalal Alhwikem
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(σ, τ )-Derivation on ordered Γ-semihyperrings [PDF]
Journal of Hyperstructures, 2023 When a suitable partial ordered relation is attached to a Γ-semihyperring, it results into an ordered Γ-semihyperring. Concepts of an ordered Γ-semihyperring, Γ-band, idempotent Γ-semihyperring, totally or-dered Γ-semihyperring, positively ordered Γ ...
Lalita Nerkar, Kishor Pawar
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Nonlinear Skew Lie-Type Derivations on ∗-Algebra
Mathematics, 2023 Let A be a unital ∗-algebra over the complex fields C. For any H1,H2∈A, a product [H1,H2]•=H1H2−H2H1* is called the skew Lie product. In this article, it is shown that if a map ξ : A→A (not necessarily linear) satisfies ξ(Pn(H1,H2,…,Hn))=∑i=1nPn(H1,…,Hi ...
Md Arshad Madni +2 more
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A BLUP derivation of the multivariate breeder's equation, with an elucidation of errors in BLUP variance estimates, and a prediction method for inbred populations [PDF]
Modeling, Identification and Control, 2022 The multivariate breeder's equation, Lande (1979), was derived from the Price equation Price (1970,1972). Here, I present a derivation based on the BLUP (best linear unbiased predictions) equations in matrix form, first given in summation form by ...
Rolf Ergon
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Identities on additive mappings in semiprime rings
Математичні Студії, 2023 Consider a ring $R$, which is semiprime and also having $k$-torsion freeness. If $F, d : R\to R$ are two additive maps fulfilling the algebraic identity $$F(x^{n+m})=F(x^m) x^n+ x^m d(x^n)$$ for each $x$ in $R.$ Then $F$ will be a generalized derivation ...
A. Z. Ansari, N. Rehman
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Physics Letters B, 2023 In this work, we study the formal connections between the non-linear Fokker-Planck Equation associated with the non-additive entropy and the Boltzmann Equation with the non-additive correlation functional.
Airton Deppman +3 more
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International Journal of Mathematics and Mathematical Sciences, 2010 We introduce the notion of derivation for an MV-algebra and discuss some related properties. Using the notion of an isotone derivation, we give some characterizations of a derivation of an MV-algebra.
N. O. Alshehri
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, 2017 Media outlet sources of articles collected through applying the described search strategy. (DOCX 69 kb)
Bahri, Priya +3 more
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Generalized Jordan triple (ζ, ξ)-derivations on semiprime rings [PDF]
Journal of Mahani Mathematical ResearchThe purpose of this research is to demonstrate the following assertions: an additive mapping $\mathcal{H}$ is a generalized ($\zeta, \xi$)-derivation associated with a ($\zeta, \xi$)-derivation ${\bf h}$, where $\zeta, \xi$ are endomorphisms on a $(m+n+p-
Abu Zaid Ansari +3 more
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