Abstract Algebra

GPTKB entity

Statements (54)
Predicate Object
gptkbp:instanceOf gptkb:academic
gptkbp:characterizedBy axiomatic approach
focus on structure and symmetry
study of sets with operations
gptkbp:date 19th century
gptkbp:field gptkb:mathematics
gptkbp:hasApplication gptkb:geometry
gptkb:topology
chemistry
coding theory
computer science
cryptography
number theory
physics
combinatorics
gptkbp:hasNotableTextbook gptkb:Algebra_by_Serge_Lang
gptkb:A_First_Course_in_Abstract_Algebra_by_John_B._Fraleigh
gptkb:Abstract_Algebra_by_David_S._Dummit_and_Richard_M._Foote
gptkb:Algebra_by_Michael_Artin
https://www.w3.org/2000/01/rdf-schema#label Abstract Algebra
gptkbp:includes gptkb:Galois_theory
field theory
group theory
representation theory
lattice theory
homological algebra
module theory
ring theory
vector spaces
algebras over a field
gptkbp:notablePerson gptkb:Évariste_Galois
gptkb:Bartel_Leendert_van_der_Waerden
gptkb:Emil_Artin
gptkb:Emmy_Noether
gptkb:Richard_Dedekind
gptkb:Sophus_Lie
gptkb:Arthur_Cayley
gptkb:Niels_Henrik_Abel
gptkb:William_Rowan_Hamilton
gptkb:Emil_Leon_Post
gptkb:Issai_Schur
gptkbp:partOf pure mathematics
modern algebra
gptkbp:relatedTo gptkb:category_theory
elementary algebra
linear algebra
universal algebra
gptkbp:studies algebraic structures
gptkbp:taughtAt colleges
graduate programs
undergraduate programs
universities
gptkbp:bfsParent gptkb:Tufts_University_Department_of_Mathematics
gptkbp:bfsLayer 6