Journal of High Energy Physics, ISSN 1126-6708, 7/2018, Volume 2018, Issue 7, pp. 1 - 40

Caron-Huot has recently given an interesting formula that determines OPE data in a conformal field theory in terms of a weighted integral of the four-point...

Conformal Field Theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SINGULARITIES | PHYSICS, PARTICLES & FIELDS | Derivation | Field theory | Spacetime | Relativity | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | conformal and W symmetry | field theory: conformal | operator product expansion | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | n-point function: 4 | chaos | dimension: 1 | dimension: 2 | space-time | rotation | conformal field theory | higher-dimensional

Conformal Field Theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SINGULARITIES | PHYSICS, PARTICLES & FIELDS | Derivation | Field theory | Spacetime | Relativity | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | conformal and W symmetry | field theory: conformal | operator product expansion | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | n-point function: 4 | chaos | dimension: 1 | dimension: 2 | space-time | rotation | conformal field theory | higher-dimensional

Journal Article

International Journal of Solids and Structures, ISSN 0020-7683, 07/2018, Volume 144-145, pp. 265 - 275

The description of mechanical fields at the vicinity of a bi-dimensional crack-tip can be performed using the classic Williams series expansion. While its...

Williams series | Higher order terms | Crack-tip fields | Analytical solutions | WILLIAMS EXPANSION | BRITTLE-FRACTURE | NOTCHED PLATES | T-STRESS | ASYMPTOTIC FIELD | ACCURATE DETERMINATION | MECHANICS | INTENSITY FACTORS | COEFFICIENTS | HIGHER-ORDER TERMS | NONSINGULAR STRESS | Mechanics | Engineering Sciences

Williams series | Higher order terms | Crack-tip fields | Analytical solutions | WILLIAMS EXPANSION | BRITTLE-FRACTURE | NOTCHED PLATES | T-STRESS | ASYMPTOTIC FIELD | ACCURATE DETERMINATION | MECHANICS | INTENSITY FACTORS | COEFFICIENTS | HIGHER-ORDER TERMS | NONSINGULAR STRESS | Mechanics | Engineering Sciences

Journal Article

Mathematical Structures in Computer Science, ISSN 0960-1295, 02/2018, Volume 28, Issue 2, pp. 155 - 201

Craig Squier proved that, if a monoid can be presented by a finite convergent string rewriting system, then it satisfies the homological finiteness condition...

CONDITION FP3 | WORD-PROBLEMS | ALGEBRAS | THUE SYSTEM | COMPUTER SCIENCE, THEORY & METHODS | COMPLETE REWRITING-SYSTEMS | MONOIDS | CATEGORIES | HOMOLOGY | EQUIVALENT | Derivation | Homology | Polygraphs | Monoids | Convergence | Mathematics - Category Theory | Category Theory | Mathematics | Algebraic Topology | K-Theory and Homology

CONDITION FP3 | WORD-PROBLEMS | ALGEBRAS | THUE SYSTEM | COMPUTER SCIENCE, THEORY & METHODS | COMPLETE REWRITING-SYSTEMS | MONOIDS | CATEGORIES | HOMOLOGY | EQUIVALENT | Derivation | Homology | Polygraphs | Monoids | Convergence | Mathematics - Category Theory | Category Theory | Mathematics | Algebraic Topology | K-Theory and Homology

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2011, Volume 852, Issue 1, pp. 71 - 107

For N = 1 supersymmetric quantum electrodynamics, regularized by higher derivatives, a method for summation of all Feynman diagrams defining the β-function is...

Supersymmetry | β-Function | Higher derivative regularization | SUPERSYMMETRIC GAUGE-THEORIES | INVARIANT REGULARIZATION | CHARGE RENORMALIZATION | ANOMALY PUZZLE | FINITENESS | BEHAVIOR | ss-Function | ORDER | YANG-MILLS THEORIES | MANN-LOW FUNCTION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Supersymmetry | β-Function | Higher derivative regularization | SUPERSYMMETRIC GAUGE-THEORIES | INVARIANT REGULARIZATION | CHARGE RENORMALIZATION | ANOMALY PUZZLE | FINITENESS | BEHAVIOR | ss-Function | ORDER | YANG-MILLS THEORIES | MANN-LOW FUNCTION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of Algebra, ISSN 0021-8693, 02/2017, Volume 472, pp. 437 - 479

We extend the classical characterization of a finite-dimensional Lie algebra g in terms of its Maurer–Cartan algebra—the familiar differential graded algebra...

[formula omitted]-algebra | Sh Lie–Rinehart algebra | Higher homotopies | Foliation | Quasi Lie–Rinehart algebra | Maurer–Cartan algebra | algebra | MATHEMATICS | Maurer-Cartan algebra | Sh Lie-Rinehart algebra | L-infinity-algebra | Quasi Lie-Rinehart algebra | Algebra

[formula omitted]-algebra | Sh Lie–Rinehart algebra | Higher homotopies | Foliation | Quasi Lie–Rinehart algebra | Maurer–Cartan algebra | algebra | MATHEMATICS | Maurer-Cartan algebra | Sh Lie-Rinehart algebra | L-infinity-algebra | Quasi Lie-Rinehart algebra | Algebra

Journal Article

Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 10/2019, Volume 198, Issue 5, pp. 1781 - 1802

In this paper, we develop the theory of modules over $$(A,\delta )$$ ( A , δ ) , where A is an algebra and $$\delta :A\longrightarrow A$$ δ : A ⟶ A is a...

A, \delta $$ A , δ -modules | Mathematics, general | Higher derivations | 16W25 | Mathematics | Hochschild homology | 13N15

A, \delta $$ A , δ -modules | Mathematics, general | Higher derivations | 16W25 | Mathematics | Hochschild homology | 13N15

Journal Article

Journal of Magnetic Resonance, ISSN 1090-7807, 01/2019, Volume 298, pp. 48 - 57

[Display omitted] •Homogenization theory for derivating high-order macroscopic model for dMRI signals.•Higher-order diffusion tensors have similar structure as...

Bloch-Torrey equation | Macroscopic model | Diffusion MRI, homogenization theory | Higher-order diffusion tensor | Diffusion kurtosis imaging | QUANTIFICATION | BIOCHEMICAL RESEARCH METHODS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | NMR | SPECTROSCOPY | MAGNETIC-RESONANCE | GAUSSIAN WATER DIFFUSION | WAVE-PROPAGATION

Bloch-Torrey equation | Macroscopic model | Diffusion MRI, homogenization theory | Higher-order diffusion tensor | Diffusion kurtosis imaging | QUANTIFICATION | BIOCHEMICAL RESEARCH METHODS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | NMR | SPECTROSCOPY | MAGNETIC-RESONANCE | GAUSSIAN WATER DIFFUSION | WAVE-PROPAGATION

Journal Article

Quaestiones Mathematicae, ISSN 1607-3606, 08/2019, Volume 42, Issue 7, pp. 857 - 884

Let be a standard operator algebra on an infinite dimensional complex Hilbert space containing identity operator I. In this paper it is shown that if is closed...

16W25 | 46K15 | 47B47 | multiplicative ∗-Lie triple higher derivation | Multiplicative ∗-Lie derivation | standard operator algebra | MATHEMATICS | MAPS | PRODUCT | Multiplicative -Lie derivation | MAPPINGS | multiplicative -Lie triple higher derivation

16W25 | 46K15 | 47B47 | multiplicative ∗-Lie triple higher derivation | Multiplicative ∗-Lie derivation | standard operator algebra | MATHEMATICS | MAPS | PRODUCT | Multiplicative -Lie derivation | MAPPINGS | multiplicative -Lie triple higher derivation

Journal Article

Acta Mathematica Hungarica, ISSN 0236-5294, 10/2014, Volume 144, Issue 1, pp. 217 - 226

The aim of this paper is to prove characterization theorems for higher order derivations. Among others we prove that the system defining higher order...

primary 39B82 | higher order derivation | linear function | Mathematics, general | Mathematics | derivation | stability | 39B72 | Derivation | Higher order derivation | Stability | POLYNOMIALS | MATHEMATICS | LINEAR FUNCTIONS | REGULARITY PROPERTIES

primary 39B82 | higher order derivation | linear function | Mathematics, general | Mathematics | derivation | stability | 39B72 | Derivation | Higher order derivation | Stability | POLYNOMIALS | MATHEMATICS | LINEAR FUNCTIONS | REGULARITY PROPERTIES

Journal Article

Multiscale Modeling and Simulation, ISSN 1540-3459, 2016, Volume 14, Issue 1, pp. 364 - 397

In this paper we investigate the limit behavior of the solution to quasi-static Biot equations in thin poroelastic flexural shells as the thickness of the...

Biot s quasi-static equations | Thin poroelastic shell | Higher order degenerate elliptic-parabolic systems | Asymptotic methods | Bending-flow coupling | LINEARLY ELASTIC SHELLS | EQUATIONS | asymptotic methods | PHYSICS, MATHEMATICAL | thin poroelastic shell | ACOUSTIC PROPERTIES | bending-flow coupling | ASYMPTOTIC ANALYSIS | CONSOLIDATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Biot's quasi-static equations | JUSTIFICATION | PLATE | higher order degenerate elliptic-parabolic systems | Analysis of PDEs | Mathematics

Biot s quasi-static equations | Thin poroelastic shell | Higher order degenerate elliptic-parabolic systems | Asymptotic methods | Bending-flow coupling | LINEARLY ELASTIC SHELLS | EQUATIONS | asymptotic methods | PHYSICS, MATHEMATICAL | thin poroelastic shell | ACOUSTIC PROPERTIES | bending-flow coupling | ASYMPTOTIC ANALYSIS | CONSOLIDATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Biot's quasi-static equations | JUSTIFICATION | PLATE | higher order degenerate elliptic-parabolic systems | Analysis of PDEs | Mathematics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2018, Volume 2018, Issue 10, pp. 1 - 35

The zeta function of an arbitrary field in (d + 1)-dimensional anti-de Sitter (AdS) spacetime is expressed as an integral transform of the corresponding so(2,...

Higher Spin Gravity | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Integral transforms | Derivatives | Representations

Higher Spin Gravity | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Integral transforms | Derivatives | Representations

Journal Article

Algebras and Representation Theory, ISSN 1386-923X, 12/2019, Volume 22, Issue 6, pp. 1331 - 1341

Let P be a partially ordered set, R a commutative unital ring and F I(P,R) the finitary incidence algebra of P over R. We prove that each R-linear higher...

Primary 16S50, 16W25 | Secondary 16G20, 06A11 | Associative Rings and Algebras | Higher derivation | Non-associative Rings and Algebras | Finitary incidence algebra | Commutative Rings and Algebras | Higher transitive map | Mathematics | Inner higher derivation | MATHEMATICS | INVOLUTIONS | JORDAN DERIVATIONS | AUTOMORPHISMS | LOCAL DERIVATIONS | Mathematics - Rings and Algebras

Primary 16S50, 16W25 | Secondary 16G20, 06A11 | Associative Rings and Algebras | Higher derivation | Non-associative Rings and Algebras | Finitary incidence algebra | Commutative Rings and Algebras | Higher transitive map | Mathematics | Inner higher derivation | MATHEMATICS | INVOLUTIONS | JORDAN DERIVATIONS | AUTOMORPHISMS | LOCAL DERIVATIONS | Mathematics - Rings and Algebras

Journal Article

Aequationes mathematicae, ISSN 0001-9054, 12/2019, Volume 93, Issue 6, pp. 1127 - 1138

In an earlier paper we discussed the composition of derivations of order 1 on a commutative ring R, showing that (i) the composition of n derivations of order...

39B52 | Analysis | Derivation | Mathematics | 13N15 | Commutative ring | Integral domain | Leibniz difference operator | Combinatorics | 39B72 | Derivations of higher order | Operators (mathematics) | Composition | Finite differences | Rings (mathematics)

39B52 | Analysis | Derivation | Mathematics | 13N15 | Commutative ring | Integral domain | Leibniz difference operator | Combinatorics | 39B72 | Derivations of higher order | Operators (mathematics) | Composition | Finite differences | Rings (mathematics)

Journal Article

International Journal of Nonlinear Analysis and Applications, 06/2018, Volume 9, Issue 1, pp. 111 - 115

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 11/2018, Volume 76, Issue 9, pp. 2035 - 2060

In this paper we study a time-dependent flow of an incompressible micropolar fluid through a pipe with arbitrary cross-section. The effective behavior of the...

Error estimates | Higher-order effective model | Asymptotic analysis | Nonsteady flow | Micropolar fluid | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | TUBE | Analysis | Boundary layer

Error estimates | Higher-order effective model | Asymptotic analysis | Nonsteady flow | Micropolar fluid | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | TUBE | Analysis | Boundary layer

Journal Article

Tamsui Oxford Journal of Information and Mathematical Sciences, ISSN 2222-4424, 2018, Volume 32, Issue 1, pp. 1 - 10

Journal Article

SpringerPlus, ISSN 2193-1801, 12/2014, Volume 3, Issue 1, pp. 1 - 5

Let M be a 2‐torsion free prime Γ‐ring satisfying the condition a α b β c=a β b α c,∀a,b,c∈M and α,β∈Γ, U be an admissible Lie ideal of M and F=(f i ) i∈N be a...

( U, M )-derivation | Generalized higher ( U, M )-derivation | Prime Γ-ring | Generalized ( U, M )-derivation | Admissible Lie ideal | Lie ideal | Science, general | (U,M)-derivation | Generalized (U,M)-derivation | Prime G-ring | Generalized higher (U,M)-derivation | (U, M)-derivation | Generalized higher (U, M)-derivation | Prime Gamma-ring | MULTIDISCIPLINARY SCIENCES | Generalized (U, M)-derivation

( U, M )-derivation | Generalized higher ( U, M )-derivation | Prime Γ-ring | Generalized ( U, M )-derivation | Admissible Lie ideal | Lie ideal | Science, general | (U,M)-derivation | Generalized (U,M)-derivation | Prime G-ring | Generalized higher (U,M)-derivation | (U, M)-derivation | Generalized higher (U, M)-derivation | Prime Gamma-ring | MULTIDISCIPLINARY SCIENCES | Generalized (U, M)-derivation

Journal Article

Boletim da Sociedade Paranaense de Matematica, ISSN 0037-8712, 2019, Volume 37, Issue 4, pp. 61 - 68

The main purpose of thess notes investigated some certain properties and relation between higher derivation (HD,for short) and Lie ideal of semiprime rings and...

Jordan higher derivation | Commutative ring | Higher derivation | Prime rings | Semiprime ring | Lie ideal | semiprime ring | prime rings | commutative ring

Jordan higher derivation | Commutative ring | Higher derivation | Prime rings | Semiprime ring | Lie ideal | semiprime ring | prime rings | commutative ring

Journal Article

Communications in Algebra, ISSN 0092-7872, 10/2019, Volume 47, Issue 10, pp. 4009 - 4019

For a Lie algebra related to a quantum torus, we compute its automorphisms, derivations, and universal central extension. This Lie algebra is isomorphic to a...

Automorphism | quantum torus | 17B56 | 17B68 | 17B40 | central extension | derivation | 17B05 | higher rank Virasoro algebra | MATHEMATICS | Toruses | Algebra | Automorphisms | Lie groups | Mathematics - Rings and Algebras

Automorphism | quantum torus | 17B56 | 17B68 | 17B40 | central extension | derivation | 17B05 | higher rank Virasoro algebra | MATHEMATICS | Toruses | Algebra | Automorphisms | Lie groups | Mathematics - Rings and Algebras

Journal Article

SpringerPlus, ISSN 2193-1801, 12/2012, Volume 1, Issue 1, pp. 1 - 9

Let R be a ring and U be a Lie ideal of R. Suppose that σ, τ are endomorphisms of R. A family D = {d n } n ∈ N of additive mappings d n :R → R is said to be a...

Derivation | Higher derivation | Jordan - higher derivation | Lie ideal | Science, general | MULTIDISCIPLINARY SCIENCES | Jordan (sigma, tau)-higher derivation

Derivation | Higher derivation | Jordan - higher derivation | Lie ideal | Science, general | MULTIDISCIPLINARY SCIENCES | Jordan (sigma, tau)-higher derivation

Journal Article

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