algebraic number theory in a sentence
1) A computer algebra system focusing mainly on algebraic number theory .
algebraic collocations
2) This spirit is adopted in algebraic number theory .
3) They are used in algebraic number theory and algebraic topology.
algebraic number theory example sentences
4) Algebraic number theory studies algebraic number fields.5) Algebraic number theory interacts with many other mathematical disciplines.
6) This intuition also serves to define ramification in algebraic number theory .
7) This is one of the main results of classical algebraic number theory .
8) Discriminants in algebraic number theory are closely related, and contain information about ramification.
9) Commutative ring theory originated in algebraic number theory , algebraic geometry, and invariant theory.
10) Algebraic number theory is also used in the study of arithmetic hyperbolic 3-manifolds.
11) An example of an active area of research in algebraic number theory is Iwasawa theory.
12) Thirdly, groups were, at first implicitly and later explicitly, used in algebraic number theory .
13) Algebraic number theory is a major branch of number theory that studies algebraic structures related to algebraic integers.
14) Generalizing this simple result to more general rings of integers is a basic problem in algebraic number theory .
15) Algebraic number theory is a special case of group theory, thereby following the rules of the latter.
example sentences with algebraic number theory
16) Algebraic number theory , in which the properties of numbers are studied from an algebraic point of view.17) Serge Lang, " algebraic number theory ," Springer, 2000. pages 3-4.
18) The rough subdivision of number theory into its modern subfields-in particular, analytic and algebraic number theory .
19) He worked in algebraic number theory , contributing largely to class field theory and a new construction of L-functions.
20) His construction of new cohomology theories has left consequences for algebraic number theory , algebraic topology, and representation theory.
21) See Lang's " algebraic number theory ," especially pages 3-4 and the bottom of page 7.
22) The course is a graduate-level introduction to algebraic number theory , in which we will cover fundamentals of the subject.
23) The roots of such equations are called algebraic numbers - they are a principal object of study in algebraic number theory .
24) In this way, Gauss arguably made a first foray towards both Évariste Galois's work and algebraic number theory .
25) Every textbook on elementary number theory (and quite a few on algebraic number theory ) has a proof of quadratic reciprocity.
26) This was first done in algebraic geometry and algebraic number theory by Alexander Grothendieck to define the étale cohomology of a scheme.
27) The K omputer A lgebra N umber T heory software is a subroutine package for algorithms from the geometry of numbers and algebraic number theory .
28) They used algebraic number theory , in particular, the canonical embedding of a number field and the Chinese Remainder Theorem to overcome these obstacles.
How to use algebraic number theory in a sentence
29) The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory .30) In algebraic number theory , "R" will be taken to be the ring of integers, which is Dedekind and thus regular.
31) The application in algebraic number theory to class field theory provided theorems valid for general Galois extensions (not just abelian extensions).
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