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