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Notes
(Internal) Direct Products
Abelian Group
Abs. Alg. by Dummit and Foote - Chapter 8 Notes
Absolute Convergence
Adequate (for Propositional Logic)
Algebra on the Set of Linear Maps
Algebraically Closed Field
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Algorithm to Find DNF for a Formula
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Cauchy Sequence
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Characteristic Polynomial
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Factoring into Primes in Quadratic Integers
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Group
Group Actions on Sets
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Image (Ring)
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Infinite Limit
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Intr. to Comm. Algebra - Chapter 1 Notes
Inverse (Linear Map)
Irreducible
Isomorphic Vector Spaces
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Kernel (Ring)
Krull's Theorem
Lagrange's Theorem
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MATH 3150 Class Notes 01-21-2025
MATH 3150 Class Notes 01-23-2025
MATH 3150 Class notes 01-28-2025
MATH 3150 Class Notes 01-30-2025
MATH 3150 Class Notes 02-04-2025
MATH 3150 Class Notes 02-11-2025
MATH 3150 Class Notes 02-13-2025
MATH 3150 Class Notes 02-20-2025
MATH 3150 Class Notes 02-25-2025
MATH 3150 Class Notes 02-27-2025
MATH 3150 Class Notes 03-06-2025
MATH 3150 Class Notes 03-13-2025
MATH 3150 Midterm 1 Review
MATH 3210 Class Notes 01-22-2025
MATH 3210 Class Notes 01-24-2025
MATH 3210 Class Notes 01-27-2025
MATH 3210 Class Notes 01-31-2025
MATH 3210 Class Notes 02-03-2025
MATH 3210 Class Notes 02-05-2025
MATH 3210 Class notes 02-07-2025
MATH 3210 Class Notes 02-10-2025
MATH 3210 Class Notes 02-12-2025
MATH 3210 Class Notes 02-14-2025
MATH 3210 Class Notes 02-21-2025
MATH 3210 Class Notes 02-24-2025
MATH 3210 Class Notes 02-26-2025
MATH 3210 Class Notes 03-03-2025
MATH 3210 Class Notes 03-05-2025
MATH 3210 Class Notes 03-10-2025
MATH 3210 Exam 1 In-Class Review
MATH 3210 Exam 1 Study Guide
MATH 3231 Class Note 01-31-2025
MATH 3231 Class Notes 01-22-2025
MATH 3231 Class Notes 01-24-2025
MATH 3231 Class Notes 01-27-2025
MATH 3231 Class Notes 01-29-2025
MATH 3231 Class Notes 02-03-2025
MATH 3231 Class Notes 02-07-2025
MATH 3231 Class Notes 02-10-2025
MATH 3231 Class Notes 02-12-2025
MATH 3231 Class Notes 02-17-2025
MATH 3231 Class Notes 02-21-2025
MATH 3231 Class Notes 02-24-2025
MATH 3231 Class Notes 03-05-2025
MATH 3231 Class Notes 03-07-2025
MATH 3231 Class Notes 03-10-2025
MATH 3231 Class Notes 03-14-2025
MATH 3240 Final Review
MATH 3265 Class Notes 01-22-2025
MATH 3265 Class Notes 01-24-2025
MATH 3265 Class Notes 01-27-2025
MATH 3265 Class Notes 01-29-2025
MATH 3265 Class Notes 01-31-2025
MATH 3265 Class Notes 02-03-2025
MATH 3265 Class Notes 02-10-2025
MATH 3265 Class Notes 02-12-2025
MATH 3265 Class Notes 02-19-2025
MATH 3265 Class Notes 02-21-2025
MATH 3265 Class Notes 02-24-2025
MATH 3265 Class notes 03-10-2025
Matrix (Representation of a Linear Map)
Maximal Ideal
Maximum
Minimum
Modulus (Absolute Value)
Monic
Monotone (Sequence)
Monotone Convergence Theorem
Morphism of Rings
Norm (Quadratic Integers)
Normal Extension
Normal Subgroup
Normalizer
Note - Colorings of Regular Polygons
Note - Group Actions on Sets
Note - Internal and External Direct Products
Note - Modified Division Algorithm
Note - Orbits and Stabilizers
Note - Proving Existence of Integral Solutions to General Pell's Equation
Note - Quadratic Reciprocity Law and the Legendre Symbol
Note - Results about Finite Groups
Note - Structure of Finite Commutative Groups
Note - The Correspondence Theorem
Nullspace
Operations with Ideals
Orbit (Group)
P-group
P-subgroup
P-Torsion Subgroup
Peano Axioms
PHIL 2208 Class Notes 01-21-2025
PHIL 2208 Class Notes 01-23-2025
PHIL 2208 Class Notes 01-28-2025
PHIL 2208 Class Notes 01-30-2025
PHIL 2208 Class Notes 02-04-2025
PHIL 2208 Class Notes 02-25-2025
PHIL 2208 Class Notes 03-04-2025
PHIL 2208 Class Notes 03-11-2025
PHIL 2208 Class Notes 03-13-2025
Pigeonhole Principle
Polynomial
Prime Ideal
Prime Subfield
Product (Vector Spaces)
Proof of Burnside's Theorem
Proof of Chinese Remainder Theorem (Group Theory)
Proof of P-group Theorem (1)
Proof of P-group Theorem (2)
Proof of Some Square Patterns
Proof of the Main Law of Quadratic Reciprocity
Proof of Theorem about Primes as Sums of Squares
Proof that the Field of Gaussian Integers has a Division Algorithm
Propositional Logic
Quadratic Integers
Quadratic Reciprocity Law
Quotient (Groups)
Quotient (Ring)
Quotient Group
Quotient Space
Range
Ring
Ring of Polynomials
Root (Zero) of a Polynomial
Satisfiable
Second Isomorphism Theorem
Second Isomorphism Theorem (Ring)
Semantic Consequence
Set of Finite Tableau
Similar Matrices
Span
Splitting Field
Squeeze Theorem
Stabilizer (Group)
Subgroup
Subring
Subsequence
Subspace
Support
Supremum
Surjective
Sylow P-subgroup
Sylow Theorems
Tableau Proof
Tableau Rule Agreement Lemma
Tautology
The Completeness Axiom
Theorem - Chinese Remainder Theorem
Theorem - Every Vector Space has a Basis
Theorem - Orbit Stabilizer Formula
Theorem - Sum of Squares in the Integers
Theorem - The inverse of the identity element is itself
Theorem - The smallest non-abelian group has order 6.
Theorem - Uniqueness of Splitting Fields
Third Isomorphism Theorem (Ring)
Uniform Continuity
Unique Factorization Domain
Unit (Ring)
Units in Rings
Universal Property of the Polynomial Ring
Vector Space
Wilson's Theorem
Working on Fall 2024 DRP Presentation
Zero-Divisor
Templates
Course Template
Definition Template
Proof Template
Textbook Template
Theorem Template
Textbooks
Abstract Algebra by Dan Saracino
Abstract Algebra by Dummit and Foote
Introduction to Commutative Algebra by Atiyah and MacDonald
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Mar 14, 2025
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