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

How to Cite?: Vinit Chauhan, Nagesh Kumar Singh, "A Discussion about the Field Extension, Degree of Field Extension and Algebraic Extension", Volume 4 Issue 12, December 2015, International Journal of Science and Research (IJSR), Pages: 1321-1324, https://www.ijsr.net/getabstract.php?paperid=NOV152155, DOI: https://dx.doi.org/10.21275/NOV152155

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