https://ir.vidyasagar.ac.in/jspui/handle/123456789/307 2026-04-25T23:25:36Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/798 Title: Jordan Left Derivations of Two Torsion Free ГM – Modules Authors: Paul, A C; Halder, Amitabh Kumer Abstract: Let M be a Г-ring and X be a 2-torsionfree left ГM-module. The purpose of this paper is to investigate Jordan left derivations on M considering aαbβc=aβbαc, for every a,b,c∈M and α,β∈Г . We show that the existence of a nonzero Jordan left derivation of M into X implies M is commutative. We also show that if X = M is a semiprime Г-ring, then the derivation is a mapping from M into its centre. Finally we show that if M is a prime Г- ring, then every Jordan left derivation d: M→ M is a left derivation. Description: 13-19 2009-01-01T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/796 Title: The Shift Map and the Symbolic Dynamics and Application of Topological Conjugacy Authors: Bhaumik, Indranil; Choudhury, Binayak S. Description: 149-160 2009-01-01T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/797 Title: Multiobjective Nonlinear Programming Problems Involving Second Order (b,F)-Type I Functions Authors: Pandian, P; Natarajan, G Abstract: A new class of functions namely, second order (b,F) -type I functions which is the generalization of type I, F-type I and b-type I functions, is introduced. Sufficient optimality conditions for proper efficiency and second order mixed type duality theorems for multiobjective nonlinear programming problems are established under the assumptions of second order (b,F) -type I functions. Description: 135-147 2009-01-01T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/794 Title: MHD Natural Convection Flow of Viscous Incompressible Fluid From a Vertical Flat Plate Authors: Ahmmed, S F; Sarker, M. S. Alam Abstract: A two-dimensional natural convection flow of a viscous incompressible and electrically conducting fluid past a vertical impermeable flat plate is considered in presence of a uniform transverse magnetic field. The governing equations are reduced to ordinary differential equations by introducing appropriate coordinate transformations. We solve that ordinary differential equations and find the velocity profiles, temperature profile, the skin friction and nusselt number. The effects of Grashof number (Gr), Hartmann number(M) and Prandtl number(Pr) on velocity profiles and temperature profiles are shown graphically. Description: 77-85 2009-01-01T00:00:00Z