A Discussion about the Field Extension, Degree of Field Extension and Algebraic Extension

Vinit Chauhan, Nagesh Kumar Singh

Abstract: This paper is about the extension of field, a structure which equipped two binary operations and occupied some properties. In this discussion we are discussing simple field extension degree of field extension and algebraic extension.

Keywords: Number field, function field, algebraic element, transcendental element, irreducible polynomial of an algebraic element, algebraic extension, Simple field extension, degree of a field extension, and compositum of fields