International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 4 Issue 12, December 2015 | Popularity: 6.2 / 10


     

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


Edition: Volume 4 Issue 12, December 2015


Pages: 1321 - 1324


DOI: https://www.doi.org/10.21275/NOV152155



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



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