Extension field is the most fundamental concept in Algebraic Number Theory. It plays a vital role while examining the roots of a polynomial equations through Galois Theory. Moreover field extensions are widely used in Algebraic Geometry. This article depicts FIELD EXTENSION THEORY and ALGEBRAIC EXTENSIONS in a recreational way. As this article is written in the current year 2023 and might be published in the year 2024 we have chosen those year’s numbers 2023 and 2024 and made an attempt to demonstrate the central ideas and fundamental concepts of Galois Theory in an elegant apprach.
REFERENCES
1.
Saviour
Chibeti
et.al (2023
), “An introduction to the theory of field extensions
”, Advances in Pure Mathematics
, 13
(2
), 2023
.2.
Introduction to Algebraic Structure, Lecture notes
2019
, Janko
Bohm
, Magdaleon Marai’s
, 6
, 2019
3.
4.
5.
B.
Mahaboob
, Y. Hari
Krishna
, P.
Bindu
, S. Nanda
Kishore
, C.
Narayana
and M.
Rajaiah
, “Application of Linear Algebra in the study of sum of positive integral powers of first m-natural numbers
”, AIP Conference Proceedings
2707
, 020007
(2023
) 6.
B.
Mahaboob
(2021
), “A new vision on sum of powers of integers
”, AIP conference proceedings
, vol. 2375
, issue 1
, 020035
(2021), .7.
B.
Mahaboob
, Y.
HariKrishna
, P.
Bindu
, S. Nanda
Kishore
, C.
Narayana
, Y.
Harnath
and J. Peter
Praveen
, “Hunting for Kaprekar constants
”, AIP Conference Proceedings
2707
, 020008
(2023
),
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