Mathematics, Game Theory and Algebra Compendium de Bart Elias

Mathematics, Game Theory and Algebra Compendium

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.