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2001, Progress in mathematics, ISBN 0817663487, Volume 189., vii, 214
Book
Linear and Multilinear Algebra, ISSN 0308-1087, 03/2018, Volume 67, Issue 7, pp. 1 - 17
The concept of [Formula omitted.] -differential operators is a natural generalization of differential operators and difference operators. In this paper, we... 
Differential Lie algebra | Virasoro algebra | Witt algebra | differential module | Operators (mathematics) | Algebra | Modules | Finite differences | Differential equations | Lie groups
Journal Article
Algebras and Representation Theory, ISSN 1386-923X, 10/2017, Volume 20, Issue 5, pp. 1239 - 1247
We compare the so-called clock condition to the gradability of certain differential modules over quadratic monomial algebras. These considerations show that a... 
Associative Rings and Algebras | Orbit category | Stably hereditary algebra | Non-associative Rings and Algebras | Triangulated category | Clock condition | 18E30 | Commutative Rings and Algebras | Mathematics | Gentle algebra | 16G20 | Derived category | STABLY HEREDITARY ALGEBRAS | MATHEMATICS | DIMENSION | RADICAL SQUARE ZERO | CATEGORIES | Analysis | Algebra
Journal Article
Linear and Multilinear Algebra, ISSN 0308-1087, 07/2019, Volume 67, Issue 7, pp. 1308 - 1324
The concept of -differential operators is a natural generalization of differential operators and difference operators. In this paper, we determine the... 
Differential Lie algebra | 17B68 | Witt algebra | Virasoro algebra | 17B40 | 17B10 | 17B65 | 15A04 | 15A69 | differential module
Journal Article
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, ISSN 0308-2105, 06/2015, Volume 145, Issue 3, pp. 639 - 655
We show that a differential module is Gorenstein projective (injective, respectively) if and only if its underlying module is Gorenstein projective (injective,... 
MATHEMATICS | MATHEMATICS, APPLIED | Mathematical analysis | Theorems | Algebra | Homology | Dimensional stability | Categories | Modules | Rings (mathematics)
Journal Article
Molecular Medicine Reports, ISSN 1791-2997, 04/2017, Volume 15, Issue 4, pp. 2261 - 2266
Journal Article
Methods in Molecular Biology, ISSN 1064-3745, 2019, Volume 1883, pp. 303 - 321
Module network inference is a statistical method to reconstruct gene regulatory networks, which uses probabilistic graphical models to learn modules of... 
Differential networks | Gene regulatory network inference | Module networks | Bayesian analysis
Journal Article
by Liu, XW and Guo, L and Guo, XQ
LINEAR & MULTILINEAR ALGEBRA, ISSN 0308-1087, 2019, Volume 67, Issue 7, pp. 1308 - 1324
The concept of lambda-differential operators is a natural generalization of differential operators and difference operators. In this paper, we determine the... 
MATHEMATICS | Differential Lie algebra | Witt algebra | Virasoro algebra | REPRESENTATIONS | differential module | FAMILY
Journal Article
Periodica Mathematica Hungarica, ISSN 0031-5303, 9/2015, Volume 71, Issue 1, pp. 112 - 124
Journal Article
Symmetry, ISSN 2073-8994, 09/2018, Volume 10, Issue 9, p. 413
Let k be an algebraically closed field of characteristic zero, and R/I and S/J be algebras over k. Omega(1) (R/I) and Omega(1) (S/J) denote universal module of... 
Invertible ideal | Fitting ideal | Universal module | invertible ideal | universal module | MULTIDISCIPLINARY SCIENCES | Conflicts of interest | Algebra
Journal Article
Journal of Cancer Research and Therapeutics, ISSN 0973-1482, 2018, Volume 14, Issue 12, pp. S1135 - S1140
Background: The exact molecular mechanism of esophageal squamous cell carcinoma (ESCC) is still unknown, and the prognosis of ESCC has not been significantly... 
Differential co-expression network | esophageal squamous cell carcinoma | differential module | ONCOLOGY | G463A | RISK | ASSOCIATION | EXPRESSION | CANCER | MPO | Genetic aspects | Research | Gene expression | Esophageal cancer | Proteins | Carcinogens | Medical prognosis | Biomarkers | Identification | Batch processing | Data bases
Journal Article
Experimental and Therapeutic Medicine, ISSN 1792-0981, 07/2018, Volume 16, Issue 1, pp. 149 - 154
The objective of the present study was to identify differential modules in ankylosing spondylitis (AS) by integrating network analysis, module inference and... 
Module | Ankylosing spondylitis | Attract | Network | MEDICINE, RESEARCH & EXPERIMENTAL | ankylosing spondylitis | module | attract | GENES | LEVEL | PROTEINS | CANCER | network
Journal Article
Communications in Algebra, ISSN 0092-7872, 10/2019, Volume 47, Issue 10, pp. 4336 - 4346
Differential modules over a commutative differential ring which are projective as ring modules, with differential homomorphisms, form an additive category.... 
differential algebra | 12H05 | Commutative rings | projective modules | MATHEMATICS | ALGEBRAS | Homomorphisms | Modules | Rings (mathematics)
Journal Article
GEORGIAN MATHEMATICAL JOURNAL, ISSN 1072-947X, 12/2015, Volume 22, Issue 4, pp. 543 - 562
The notion of a differential module with simplicial F-infinity-faces is considered. It is shown that this notion is the homotopy analogue of the notion of a... 
MATHEMATICS | D-infinity-differential module | simplicial face | differential simplicial module | homotopy invariance structure | simplicial module | A(infinity)-algebra
Journal Article
Georgian Mathematical Journal, ISSN 1072-947X, 12/2015, Volume 22, Issue 4, pp. 543 - 562
The notion of a differential module with simplicial -faces is considered. It is shown that this notion is the homotopy analogue of the notion of a differential... 
55U10 | 18G30 | 55U43 | simplicial face | algebra | differential simplicial module | differential module | homotopy invariance structure | simplicial module
Journal Article
Solar Energy, ISSN 0038-092X, 2011, Volume 85, Issue 9, pp. 2349 - 2359
► An accurate modeling method using differential evolution (DE) for the PV module. ► Computes the model parameters at any irradiance and temperature point... 
Photovoltaic (PV) module | Multi-crystalline | Mono-crystalline | Thin-film | Differential evolution (DE) | ENERGY & FUELS | SERIES RESISTANCE | NEURAL-NETWORK | OPTIMIZATION | SIMULATION | SOLAR-CELL | Usage | Models | Solar energy industry | Analysis | Methods | Solar energy | Computer simulation | Computation | Modules | Evolution | Mathematical models | Irradiance | Diodes
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 10/2016, Volume 57, Issue 10, p. 101503
The notion of singular reduction modules, i.e., of singular modules of nonclassical (conditional) symmetry, of differential equations is introduced. It is... 
BOUSSINESQ EQUATION | HEAT-EQUATION | NONCLASSICAL SYMMETRIES | BURGERS-EQUATION | SYMMETRY REDUCTIONS | DIFFUSION EQUATION | PHYSICS, MATHEMATICAL | OPERATORS | Reduction | Mathematical analysis | Linear evolution equations | Modules | Differential equations | Ordinary differential equations | Linear equations | Fields (mathematics)
Journal Article
Journal Article
International Journal of Clinical and Experimental Medicine, ISSN 1940-5901, 09/2016, Volume 9, Issue 9, pp. 18245 - 18249
Recent advances in systems biology have revealed that variety in the frame structure and activity of gene network play an important role in influenza... 
Influenza A pneumonia | Pathway dynamics | Multiple differential modules | Bacterial pneumonia | MEDICINE, RESEARCH & EXPERIMENTAL | DISEASE | influenza A pneumonia | GENE-EXPRESSION | bacterial pneumonia | NETWORKS | pathway dynamics
Journal Article
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