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On ∗-reverse derivations of involutive rings
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Deepak Kumar
Abstract
An additive map d is called ∗-reverse derivation on a ring R if d(xy) = d(y)x∗ + y∗d(x) for all x, y ∈ R. Recently, many algebraists studied ∗-differential identities on a prime ring and semi-prime rings involving a pair of different types of derivations. In this article, we study the structure of an involutive ring R when a pair of ∗-reverse derivation satisfies some ∗-differential identities.
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Abstract
An additive map d is called ∗-reverse derivation on a ring R if d(xy) = d(y)x∗ + y∗d(x) for all x, y ∈ R. Recently, many algebraists studied ∗-differential identities on a prime ring and semi-prime rings involving a pair of different types of derivations. In this article, we study the structure of an involutive ring R when a pair of ∗-reverse derivation satisfies some ∗-differential identities.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Kapitel in diesem Buch
- Frontmatter I
- About the book VII
- Preface IX
- Contents XI
- About the Editors XV
- Logarithmic third Hankel determinant for a subclass of starlike functions 1
- Effect of gyrotactic microorganisms in rotating magnetic nanofluids in porous media 17
- Some applications of graph spectrum in post quantum cryptography 31
- Finite-time stability analysis of neutral type delay Cohen–Grossberg neural network with discontinuous activation function 47
- Influence of temperature modulation over heat/mass transport of Rivlin–Ericksen viscoelastic nanoliquid in Hele-Shaw cell 57
- On an operator preserving polynomial inequality of Paul Turán 75
- Effect of interaction between two finite faults on ground deformation 85
- On the number of bounded regions generated by a class of paths in the complex plane 111
- Binomial and de Moivre revisited through differential equations 125
- Modified projection method for second kind Fredholm integral equations with trigonometric polynomials 131
- Effect of heat and mass transfer in binary nanofluids (for silver nanoparticles) saturated in porous medium under the influence of LTNE model and different gravity modulation 145
- A comparative analysis of standard Knapsack and Legendre–Knapsack cryptosystem 169
- Study of creep in composite functionally graded disc with non-linear thickness 179
- On the h(hv)-torsion tensor and the v-curvature tensor of Matsumoto change with an h-vector 189
- Software reliability growth model considering power-law testing effort using optimization on hybrid PSO-GWO algorithm 199
- On near-perfect numbers with five prime factors 207
- Eulerian integrals associated with the product of multivariable H-function and generalized M-series 221
- Upper bounds for the complex growth rates in the Darcy–Brinkman convection in a binary viscoelastic fluid in a saturated porous layer 233
- Some result of fixed-point theorems in complete M-fuzzy metric space 243
- FR-labeling on hybrid partition shell graphs 261
- On essential M-Artinian modules 269
- Properties of reductions of multiplication modules 275
- Computational analysis of fractional vibrational equations 285
- Analysis of modified fractional order Lotka–Volterra model 307
- Topological indices of two chemical compounds used for drugs in the treatment of H1N1 335
- On the Gaussian higher-order Mersenne numbers 355
- Petri net: modeling, properties and analysis techniques 367
- An inventory system with time-dependent linear demand for deteriorating items under uncertainty with a completely backlogged 379
- On ∗-reverse derivations of involutive rings 389
- More functions via soft pre∗-generalized closed sets 397
- Modeling of piston problem for generalized Chaplygin gas 409
- A new estimation of the degree of approximation of functions belonging to Lipschitz class by Borel–Euler summability method of Fourier series 421
- Modeling the effect of discrete delay in SIR epidemic model with logistic growth 429
- Simple harmonic motion in view of quantum calculus 455
- On Bernstein and Turán-type inequalities for polynomials 461
- A weak and strong form of Ng ∗ b-continuous function in nano topological space 473
- Securing networks with graph theory: an approach to cyber security 483
Kapitel in diesem Buch
- Frontmatter I
- About the book VII
- Preface IX
- Contents XI
- About the Editors XV
- Logarithmic third Hankel determinant for a subclass of starlike functions 1
- Effect of gyrotactic microorganisms in rotating magnetic nanofluids in porous media 17
- Some applications of graph spectrum in post quantum cryptography 31
- Finite-time stability analysis of neutral type delay Cohen–Grossberg neural network with discontinuous activation function 47
- Influence of temperature modulation over heat/mass transport of Rivlin–Ericksen viscoelastic nanoliquid in Hele-Shaw cell 57
- On an operator preserving polynomial inequality of Paul Turán 75
- Effect of interaction between two finite faults on ground deformation 85
- On the number of bounded regions generated by a class of paths in the complex plane 111
- Binomial and de Moivre revisited through differential equations 125
- Modified projection method for second kind Fredholm integral equations with trigonometric polynomials 131
- Effect of heat and mass transfer in binary nanofluids (for silver nanoparticles) saturated in porous medium under the influence of LTNE model and different gravity modulation 145
- A comparative analysis of standard Knapsack and Legendre–Knapsack cryptosystem 169
- Study of creep in composite functionally graded disc with non-linear thickness 179
- On the h(hv)-torsion tensor and the v-curvature tensor of Matsumoto change with an h-vector 189
- Software reliability growth model considering power-law testing effort using optimization on hybrid PSO-GWO algorithm 199
- On near-perfect numbers with five prime factors 207
- Eulerian integrals associated with the product of multivariable H-function and generalized M-series 221
- Upper bounds for the complex growth rates in the Darcy–Brinkman convection in a binary viscoelastic fluid in a saturated porous layer 233
- Some result of fixed-point theorems in complete M-fuzzy metric space 243
- FR-labeling on hybrid partition shell graphs 261
- On essential M-Artinian modules 269
- Properties of reductions of multiplication modules 275
- Computational analysis of fractional vibrational equations 285
- Analysis of modified fractional order Lotka–Volterra model 307
- Topological indices of two chemical compounds used for drugs in the treatment of H1N1 335
- On the Gaussian higher-order Mersenne numbers 355
- Petri net: modeling, properties and analysis techniques 367
- An inventory system with time-dependent linear demand for deteriorating items under uncertainty with a completely backlogged 379
- On ∗-reverse derivations of involutive rings 389
- More functions via soft pre∗-generalized closed sets 397
- Modeling of piston problem for generalized Chaplygin gas 409
- A new estimation of the degree of approximation of functions belonging to Lipschitz class by Borel–Euler summability method of Fourier series 421
- Modeling the effect of discrete delay in SIR epidemic model with logistic growth 429
- Simple harmonic motion in view of quantum calculus 455
- On Bernstein and Turán-type inequalities for polynomials 461
- A weak and strong form of Ng ∗ b-continuous function in nano topological space 473
- Securing networks with graph theory: an approach to cyber security 483
