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Generalized Derivation

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Generalized Derivatives

Fundamenta Informaticae, 1993
The customary language-theoretic derivative of a word u with respect to a word v means the deletion of v from the beginning or end of u. We investigate the natural generalization, where v can be deleted from an arbitrary position in u. Apart from general closure and decidability properties, we pay special attention to regular languages, obtaining an ...
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Generalized Derivations and Generalized Jordan Derivations of Quaternion Rings

Iranian Journal of Science and Technology, Transactions A: Science, 2021
Let S be a unital ring in which 2 is invertible, and let $$R=H(S)$$ be the quaternion ring over S. In this paper, we characterize the generalized derivations of R and show that every generalized Jordan derivation on R is a generalized derivation.
H. Ghahramani   +2 more
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Generalized Derivation

SUT Journal of Mathematics, 2004
In this paper, an extension of the orthogonality results for dominant operators, \(p\)-hyponormal and log-hyponormal operators is presented. Some generalized commutativity results are also obtained.
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Lanczos' Generalized Derivative

The American Mathematical Monthly, 1998
(1998). Lanczos' Generalized Derivative. The American Mathematical Monthly: Vol. 105, No. 4, pp. 320-326.
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Conciliating Generalized Derivatives

2013
As a new illustration of the versatility of abstract subdifferentials we examine their introduction in the field of analysis of second-order generalized derivatives. We also consider some calculus rules for some of the various notions of such derivatives and we give an account of the effect of the Moreau regularization process.
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DERIVATIONS ON MORITA RINGS AND GENERALIZED DERIVATIONS

Journal of Algebra and Its Applications, 2011
In this note, derivations on Morita rings (generalized matrix rings) are introduced and generalized derivations on rings are proved to be Morita invariant without involvement of any homology theory.
Al-Nofayee, S., Nauman, S. K.
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Generation of Benzocyclobutadiene Derivatives from Zirconaindene Derivatives

The Journal of Organic Chemistry, 2006
Zirconaindene derivatives produced benzocyclobutadiene derivatives in situ in the presence of CuCl and 1,4-naphthoquinone, which afforded their dimers, 6a,10b-dihydrobenzo[a]biphenylenes and dibenzosemibullvalenes or dibenzo[a,e]cycloctenes.
Chao, Chen   +3 more
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