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On derivations of commutative multiplicative semilattices

Journal of Intelligent & Fuzzy Systems, 2018
In this paper, we investigate related properties of some particular derivations and give some characterizations of regular derivations in commutative multiplicative semilattices. Also we give some characterizations of zero derivations in prime commutative multiplicative semilattices.
Jun Tao Wang 0001   +2 more
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Derivation of Rational Expressions with Multiplicity

2002
This paper introduces a generalization of the partial derivatives of rational expressions, due to Antimirov, to rational expressions with multiplicity. We define the derivation of a rational expression with multiplicity in such a way that the result is a polynomial of expressions.
Sylvain Lombardy, Jacques Sakarovitch
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Brzozowski’s Derivatives Extended to Multiplicities

2002
Our aim is to study the set of K-rational expressions describing rational series. More precisely we are concerned with the definition of quotients of this set by coarser and coarser congruences which lead to an extension - in the case of multiplicities - of some classical results stated in the Boolean case.
Jean-Marc Champarnaud, Gérard Duchamp
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Multiplicative and implicative derivations on residuated multilattices

Soft Computing, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Line N. Maffeu   +3 more
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Multiplicative δ-derivation in alternative algebras

Asian-European Journal of Mathematics, 2018
Every multiplicative [Formula: see text]-derivation of an alternative algebra [Formula: see text] is additive if there exists an idempotent [Formula: see text] in [Formula: see text] satisfying the following conditions: (i) [Formula: see text] implies [Formula: see text]; (ii) [Formula: see text] implies [Formula: see text]; (iii) [Formula: see text ...
Bharathi, M. V. L., Jayalakshmi, K.
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Credit Derivatives with Multiple Debt Issues

Journal of Banking & Finance, 2001
We extend the class of structural models of credit derivatives by allowing for multiple debt issues. Since firms default on all of their obligations, total debt is instrumental in the likelihood of default and therefore in credit derivatives valuation.
Georges Hübner, Pascal Francois
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On a multiplicative inequaluty for derived functions

Analysis Mathematica, 1989
The author considers the space \(L_ \infty\) of all essentially bounded functions on \([0,1]\) and introduces a subspace \(H^{r,s}\). This subspace consists of all functions with essentially bounded derivatives of order at most \(r\) and with a Lipschitz condition in \(L_ \infty\) for the highest order derivatives involving a logarithmic factor to the ...
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On semiprime rings with multiplicative (generalized)-derivations

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2015
The author in this paper emphasizes \(R\) to be an associative semiprime ring with center \(Z(R)\) and a map \(F\colon R\to R\) is called a multiplicative (generalized)-derivation if \(F(xy)=F(x)y+xd(y)\) is fulfilled for all \(x,y\in R\), where \(d\colon R\to R\) is any map (not necessarily a derivation nor additive).
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The Lie Derivative and Interior Multiplication

2020
This chapter reviews two operations on differential forms, the Lie derivative and interior multiplication. These are necessary to the definition of invariant forms, horizontal forms, and basic forms in the construction of the Cartan model. The chapter then looks at the Lie derivative of a vector field and of a differential form. The Lie derivative of a
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A note on multiplicative (generalized) derivations with annihilator conditions

Georgian Mathematical Journal, 2016
Abstract Let R be a prime ring with center Z(R), a ∈ R (a ≠ 0) and I a nonzero ideal of R. Suppose that F , d :
Dhara, Basudeb, Pradhan, Krishna Gopal
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