Article Details

An Analysis upon Various Algorithmic Solutions in Algebraic Number Theory | Original Article

Vijaysingh Digambar Gaikwad*, in Journal of Advances in Science and Technology | Science & Technology


Algebraic number theory studies algebraic properties of the ring of algebraic integers in a number field. We describe various algebraic invariants of number fields, as well as their applications. These applications relate to prime ramification, the finiteness of the class number, cyclotomic extensions, and the unit theorem.