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현대대수학1
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현대대수학1
현대대수학1
http://postech.edwith.org/abstract-algebra-1/quiz/62544
좋아요
58
수강생
533
전체 메뉴 열기
하위 메뉴
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CHAPTER 1: Definition of a group and a group homomorphism
학습자료 & 주차목표
definition of groups and basic examples
properties of a group and a homomorphism
dihedral group and group presentation
Quiz 1-1
Quiz 1-2
Quiz 1-3
CHAPTER 2: Examples of groups
학습자료 & 주차목표
symmetric group
more examples
group action and its property
Quiz 2-1
Quiz 2-2
Quiz 2-3
CHAPTER 3: Subgroups
학습자료 & 주차목표
subgroups and related examples
cyclic group and group generators
lattice diagram of subgroups
Quiz 3-1
Quiz 3-2
Quiz 3-3
CHAPTER 4: Quotient groups and isomorphism theorems
학습자료 & 주차목표
cosets, normal subgroup and quotient group
Lagrange’s theorem
isomorphism theorems
Quiz 4-1
Quiz 4-2
Quiz 4-3
CHAPTER 5: Group actions and Cayley’s theorem
학습자료 & 주차목표
cycle decomposition
Cayley’s theorem and symmetric group
class equation
Quiz 5-1
Quiz 5-2
Quiz 5-3
CHAPTER 6: Sylow’s theorem
학습자료 & 주차목표
automorphisms of groups
Sylow’s theorem I
Sylow’s theorem II
Quiz 6-1
Quiz 6-2
Quiz 6-3
CHAPTER 7: semi-direct products and solvable groups
학습자료 & 주차목표
semi-direct products
p-groups and nilpotent groups
solvable groups
Quiz 7-1
Quiz 7-2
Quiz 7-3
CHAPTER 8: Definition of a ring and its homomorphism
학습자료 & 주차목표
definition of rings and basic examples
Units of a ring and integral domains
More examples and ring homomorphism
Quiz 8-1
Quiz 8-2
Quiz 8-3
CHAPTER 9: The ring isomorphisms and localization
학습자료 & 주차목표
ring isomorphism theorems
properties of rings
rings of fractions
Quiz 9-1
Quiz 9-2
Quiz 9-3
CHAPTER 10: Euclidean domain (ED) and discrete valuation ring (DVR)
학습자료 & 주차목표
Chines remainder theorem
Euclidean domain (ED)
discrete valuation ring (DVR)
Quiz 10-1
Quiz 10-2
Quiz 10-3
CHAPTER 11: principal ideal domain (PID) and unique factorization domain (UFD)
학습자료 & 주차목표
principal ideal domain (PID)
unique factorization domain (UFD)
polynomial rings I
Quiz 11-1
Quiz 11-2
Quiz 11-3
CHAPTER 12: Polynomial rings
학습자료 & 주차목표
polynomial rings II
Irreducibility: the Eisenstein criterion
polynomial rings over a field and summary
Quiz 12-1
Quiz 12-2
Quiz 12-3
Q&A
Quiz 9-1
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rings of fractions
Quiz 9-2
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Quiz 9-1 - POSTECH
Quiz 9-1 - POSTECH
