Results 221 to 230 of about 26,485 (265)

On the derivations‎, ‎generalized derivations and ternary derivations of degree $n$

Rendiconti del Circolo Matematico di Palermo Series 2, 2022
‎In this paper‎, ‎we introduce the concepts of derivation of degree $n$‎, ‎generalized derivation of degree $n$ and ternary derivation of degree $n$‎, ‎where $n$ is a positive integer‎, ‎and then we study algebraic properties of these mappings‎. ‎For instance‎, ‎we study the image of derivations of degree $n$ on algebras and in this regard we prove ...
Amin Hosseini, Mehdi Mohammadzadeh Karizaki   +1 more
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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, M. N. Ghosseiriand, L. Heidari Zadeh   +2 more
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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 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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On the Generalized "Lanczos' Generalized Derivative"

The American Mathematical Monthly, 1999
(1999). On the Generalized “Lanczos' Generalized Derivative”. The American Mathematical Monthly: Vol. 106, No. 8, pp. 766-768.
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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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A generalization of leftmost derivations

Mathematical Systems Theory, 1977
A generalization of leftmost derivation called depth-first derivation is defined. The main result, that the depth-first derivations of an arbitrary phrase-structure grammar generate a context-free language, is proved using a new technique in which families of equivalent depth-first derivations of one grammar are represented by single productions in a ...
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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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Generalized global monotonicity of generalized derivatives

International Transactions in Operational Research, 1994
The gradient and the several kinds of its generalizations provide a very efficient tool in characterizing important properties of functions. Convexity and generalized convexity, which are central properties in many branches of Operational Research, can also be characterized by special properties (monotonicity and generalized monotonicity) of the ...
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