图书简介
This book exploresThe lTeT advances in algebraic TruTures and applicTions, and focuses on mThemTical conceTs, mThods, TruTures, problems, algorThms and compTTional mThods impoTaT inThe nTural sciences, engineering and modernTechnologies. In paTicular, T feTures mThemTical mThods and models of non-commTTive and non-associTive algebras, hom-algebra TruTures, generalizTions of differeTial calculus, quaTum deformTions of algebras, Lie algebras andTheir generalizTions, semi-groups and groups, conTruTive algebra, mTrix analysis and Ts iTerplay wThTopology, knTTheory, dynamical syTems, funTional analysis, TochaTic processes, peTurbTion analysis of Markov chains, and applicTions in nTwork analysis, financial mThemTics and engineering mThemTics.The book addresses bThTheory and applicTions, which are illuTrTed wTh a weaTh of ideas, proofs and examplesTo help readers underTandThe mTerial and develop new mThemTical mThods and conceTs ofTheir own.The high-qualTy chaTers share a weaTh of new mThods and resuTs, review cTting-edge research and discuss open problems and direTions for fTure research.TakenTogTher,They offer a source of inspirTion for a broad range of researchers and research TudeTs whose work involves algebraic TruTures andTheir applicTions, probabilTyTheory and mThemTical TTiTics, applied mThemTics, engineering mThemTics and relTed areas.
V. Abramov, Weil algebra, 3-Lie algebra and B.R.S. algebra.- V. Abramov, R. Kerner, and O. Liivapuu, Algebras with ternaryComposition lawCombining Z2 and Z3 gradings.- V. Abramov and P. Lätt, Ternary Lie Superalgebras and Nambu-Hamilton Equation in SuperspCe.- A. Ben Abdeljelil, M. Elhamdadi, I. Kaygorodov, and A. Makhlouf, Generalized Derivations of n-BiHom-Lie algebras.- A. Kitouni, A. Makhlouf and S. Silvestrov, On n-ary generalization of BiHom-Lie algebras and BiHomassCiative algebras.- A. Kitouni, A. Makhlouf and S. Silvestrov, On solvability and nilpoteCy for (n 1)-Hom-Lie algebras indCed by n-Hom-Lie algebras.- I. Bakayoko and S. Silvestrov, MultiplCative n-Hom-LieColor algebras.- A. Makhlouf and M. Mehidi, OnClassifCation of Filiform Hom-Lie algebras.- E. Ongong’a, Johan RChter, and S. Silvestrov,ClassifCation of low-dimensional Hom-Lie algebras.- A. Armakan and S. Silvestrov, Enveloping algebras ofCertain types ofColor hom-Lie algebras.- S. K. Mishra and S. Silvestrov, A Review on Hom-Gerstenhaber algebras and Hom-Lie algebroids.- L. Hellström, Strong Hom-assCiativity.- Tianshui Ma, S. Silvestrov, and H. Zheng, On Hom-Yetter-DrinfeldCategory.- I. R.ChuChill, M. Elhamdadi and N. Van Kempen, On theClassifCation of f - quandles.- P. Nystedt, NoCommutatively graded algebras.- A. Dimakis and F. Müller-Hoissen, DifferentialCaCuli on AssCiative Algebras and Integrable Systems.- V. V. Bavula, The JCobianConjCture2 n implies the Dixmier Problem n.- A. B. Tumwesigye, J. RChter, S. Silvestrov,Commutants inCrossed prodCt algebras for piCewiseConstant fuCtions on the real line.- A. B. Tumwesigye, J. RChter, S. Silvestrov, Ore extensions of fuCtional algebras.- A. B. Tumwesigye, J. RChter, S. Silvestrov,Centralizers in PBW Extensions.- J. Musonda, S. Kaijser, and S. Silvestrov, Reordering,Centralizers andCenters in an algebra with three generators and Lie type relations.- J. Musonda, J. RChter, and S. Silvestrov, Reordering in noCommutative algebras assCiated with iterated fuCtion systems.- J. Musonda, J. RChter, and S. Silvestrov, Twisted differeCe operator representations of deformed Lie typeCommutation relations.- R. R.Cantuba and S. Silvestrov, Torsion-type q-deformed Heisenberg algebra and its Lie polynomials.- R. R.Cantuba, S. Silvestrov, Lie polynomialCharCterization problems.- S. Silvestrov, P. M. RajkovC, S. D. MarinkovC, and M. S. StankovC.- Relations Between the FrCtional Operators in qCaCulus.- T. Ernst, On the exponential and trigonometrC q;w-spCial fuCtions.- M. MitrovC and S. Silvestrov, Isomorphism theorems for basCConstrCtive algebraC strCtures with spCial emphasize onConstrCtive semigroups with apartness -an overview.- M. MitrovC and S. Silvestrov, SemilatCe dCompositions of semigroups. Hereditariness and periodCity – an overview.- T. Nazir and S. Silvestrov,Common Fixed Point for Integral TypeContrCtive Mappings in MultiplCative MetrC SpCes.- T. Nazir and S. Silvestrov,CClCContrCtions andCommon Fixed Point Results of Integral TypeContrCtions in MultiplCative MetrC SpCes.- K. Lundengård, J. Österberg, S. Silvestrov, Extreme points of the Vandermonde determinant on the sphere and some limits involving the generalized Vandermonde determinant.- A. K. Muhumuza, K. Lundengård, J. Österberg, S. Silvestrov, J. M. Mango and G. Kakuba, Extreme Points of the Vandermonde Determinant on SurfCes ImplCitly Determined by a Univariate Polynomial.- A. K. Muhumuza, K. Lundengård, J. Österberg, S. Silvestrov, J. M. Mango, and G. Kakuba, Optimization of the Wishart joint eigenvalue probability density distribution based on the Vandermonde determinant.- A. Malyarenko, H. Nohrouzian, and S. Silvestrov, An algebraC method for prCing finaCial instruments on postCrisis market.- B.Canhanga, A. Malyarenko, J.-P. Murara, Y. Ni and S. Silvestrov, AdvaCed MonteCarlo prCing of European options in a market model with two stChastC volatilities.-C. Nhangumbe, E. FrederCks and B.Canhanga, Lie Symmetry Analysis on PrCing Weather Derivatives by Partial Differential Equations.- D. Silvestrov, S. Silvestrov, B. Abola, P. S. Biganda,C. Engström, J. M. Mango and G. Kakuba, Perturbation analysis for stationary distributions of MarkovChains with dampingComponent.- M. Dogan, Uniqueness of p-adC Gibbs measures for p-adC l-Ising model onCayley Tree of arbitrary order.- I.Chandarki and B. Singh, On Pade Approximants Series Solutions of MHD Flow Equations with Heat and Mass Transfer Due to a Point Sink.- Index.
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