Mathematics, Game Theory & Algebra Compendium de Bart Elias

Mathematics, Game Theory & Algebra Compendium: Volume 1

Bart Elias

John W Fischer

Robert S Kirk

This book is devoted to new advances in all branches of mathematics, game theory and applications, and pure and applied algebra and geometry including Field Theory and Polynomials; Commutative Rings and Algebras; Algebraic Geometry; Linear and Multi-linear Algebras; Matrix Theory; Associative Rings and Algebras; Nonassociative Rings and Algebras; K-Theory; Group Theory and Generalisations; Topological Groups, Lie Groups; Geometry; Differential Geometry.

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PARTIAL CONTENTS: Preface; On Property (E. A) in Gauge Spaces; Structure of Certain Periodic Near Rings; Extended Method of Quasilinearization for a Three-Point Boundary Value Problem with General Nonlinear Nonconvex Boundary Conditions; The Jones Polynomial of Twist Knots; Abstract Ideal Theory: Multiplicative Lattices and x-systems; Commutativity of Rings with Constraints on Nilpotents and the Jacobson Radical; Decomposability of Iterated Extensions; Some Aspects of a Pure Theory of Bargaining: Players, Information, Equilibrium and Voting Power; Limits at Infinity of Generalized Riesz Potentials; Phase Operator on a Deformed Hilbert Space; Galois Theory of Graded Fields; Self Similar Isothermal Expansion of Magneto-Hydrodynamic Gas Behind a Spherical Shock Wave With Self Gravitation; Classification of the 5-dimensional Power-Associative 2nd-order Bernstein Algebras; A Dual Approach to Alpha-Regularity; Limit Cycle in Fractional Differential Systems; The Half-Factorial Property in the Ring A+XI[X] where A Is a UFR;; Some Diophantine Equations Associated to Seminormal Cohen-Kaplansky Domains; On Integrally Closed Going-Down Rings; Computational of the Integral Closure; Negacyclic Codes of Length 2e over Z4; Cooperative Stochastic Games in Stationary Strategies; Two Level Games; Conjugate-Set Game for a Nonlinear Programming Problem; Index.