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Theoretical Concept of Algebraic Number Theory |

Radheshyam Ramkisan Sharma, in Journal of Advances in Science and Technology | Science & Technology


In this paper we present about theoretical concept of algebraicnumber theory. Algebraic number theory studies algebraic properties of the ringof algebraic integers in a number field. We describe various algebraicinvariants of number fields, as well as their applications. These applicationsrelate to prime ramification, the finiteness of the class number, cyclotomicextensions, and the unit theorem.