My Math Notes
Search
Search
Dark mode
Light mode
Explorer
Courses
DRP Spring 2025
MATH 2110Q
MATH 2210Q
MATH 2410Q
MATH 2705W
MATH 2710
MATH 3094
MATH 3150
MATH 3210
MATH 3230
MATH 3231
MATH 3240
MATH 3265
PHIL 2208
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
Algorithm to Find CNF for a Formula
Algorithm to Find DNF for a Formula
Annihilator
Archimedean Property
Automorphism
Binary Operation
Bolzano-Weierstrass Theorem
Category
Cauchy Sequence
Cauchy's Theorem
Cayley Hamilton Theorem
Characteristic Polynomial
Classifications of Small Groups
Commutative Ring
Complex Conjugate
Conjugate (Groups)
Conjunctive Normal Form
Contradiction
Correspondence Theorem for Quotients
Coset
Cyclic Group
Decreasing (Sequence)
Direct Sum
Disjunctive Normal Form
Division Algorithm (Polynomials)
Division with Remainder (Polynomials)
Domain
Dual Vector Space
Eisenstein Irreducibility Criterion
Euclidean Domain
Examples of Euclid's Algorithm in Quadratic Integers
Examples of Primes in Quadratic Integers
Exponent (of a Group)
Factoring into Primes in Quadratic Integers
Field
Field Extension
Field of Fractions
Finite Tableau
Finite-Dimensional
First Isomorphism Theorem of Vector Spaces
Formula Substitution
Fundamental Isomorphism Theorem
Fundamental Isomorphism Theorem (Ring)
Fundamental Theorem of Algebra
Fundamental Theorem of Linear Maps
Galois Group
Galois Theory
Greatest Common Divisor (in a Ring)
Group
Group Actions on Sets
Group Algebra
Group Homomorphism
Homomorphism
Ideal
Image (Ring)
Increasing (Sequence)
Infimum
Infinite Limit
Injective
Integer Congruence
Intr. to Comm. Algebra - Chapter 1 Notes
Inverse (Linear Map)
Irreducible
Isomorphic Vector Spaces
Isomorphism
Kernel
Kernel (Ring)
Krull's Theorem
Lagrange's Theorem
Legendre Symbol
Limit
Linear Combination
Linear Dependence Lemma
Linear Independence
Linear Isomorphism
Linear Map
Literal
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
Home
❯
tags
❯
Tag: definition
Tag: definition
126 items with this tag.
Mar 14, 2025
Third Isomorphism Theorem (Ring)
definition
abstract-algebra/ring-theory
Mar 14, 2025
Uniform Continuity
definition
analysis/real-analysis
Mar 14, 2025
Unique Factorization Domain
definition
abstract-algebra/ring-theory
Mar 14, 2025
Unit (Ring)
definition
abstract-algebra/ring-theory
Mar 14, 2025
Units in Rings
definition
abstract-algebra/ring-theory
Mar 14, 2025
Vector Space
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Zero-Divisor
definition
abstract-algebra/ring-theory
Mar 14, 2025
Definition Template
definition
tags
Mar 14, 2025
Quotient Space
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Range
definition
abstract-algebra
Mar 14, 2025
Ring of Polynomials
definition
abstract-algebra/ring-theory/polynomials
Mar 14, 2025
Ring
definition
abstract-algebra/ring-theory
Mar 14, 2025
Root (Zero) of a Polynomial
definition
abstract-algebra/vector-spaces
abstract-algebra/ring-theory/polynomials
Mar 14, 2025
Satisfiable
definition
logic
Mar 14, 2025
Second Isomorphism Theorem (Ring)
definition
abstract-algebra/ring-theory
Mar 14, 2025
Semantic Consequence
definition
logic/propositional-logic
Mar 14, 2025
Set of Finite Tableau
definition
logic/propositional-logic
Mar 14, 2025
Similar Matrices
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Span
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Splitting Field
definition
abstract-algebra/field-theory
Mar 14, 2025
Stabilizer (Group)
definition
abstract-algebra/group-theory
Mar 14, 2025
Subgroup
definition
abstract-algebra/group-theory
Mar 14, 2025
Subring
definition
abstract-algebra/ring-theory
Mar 14, 2025
Subsequence
definition
analysis/real-analysis
Mar 14, 2025
Subspace
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Support
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Supremum
definition
analysis/real-analysis
Mar 14, 2025
Surjective
definition
abstract-algebra
Mar 14, 2025
Sylow P-subgroup
definition
abstract-algebra/group-theory/p-groups
Mar 14, 2025
Tableau Proof
definition
logic/proof-theory
Mar 14, 2025
Tautology
definition
logic
Mar 14, 2025
The Completeness Axiom
definition
analysis
Mar 14, 2025
Peano Axioms
definition
analysis/real-analysis
natural-numbers
Mar 14, 2025
Pigeonhole Principle
definition
Mar 14, 2025
Polynomial
definition
abstract-algebra/field-theory
abstract-algebra/vector-spaces
Mar 14, 2025
Prime Ideal
definition
abstract-algebra/ring-theory
Mar 14, 2025
Prime Subfield
definition
abstract-algebra/field-theory
Mar 14, 2025
Product (Vector Spaces)
definition
abstract-algebra/vector-spaces
logic/set-theory
Mar 14, 2025
Propositional Logic
definition
logic
Mar 14, 2025
Quadratic Integers
definition
number-theory/quadratic-integers
Mar 14, 2025
Quotient (Groups)
definition
abstract-algebra/group-theory
Mar 14, 2025
Quotient (Ring)
definition
abstract-algebra/ring-theory
Mar 14, 2025
Quotient Group
definition
abstract-algebra/group-theory
Mar 14, 2025
Morphism of Rings
definition
abstract-algebra/ring-theory
Mar 14, 2025
Norm (Quadratic Integers)
definition
number-theory
Mar 14, 2025
Normal Extension
definition
abstract-algebra/field-theory
Mar 14, 2025
Normal Subgroup
definition
abstract-algebra/group-theory
Mar 14, 2025
Normalizer
definition
abstract-algebra/group-theory
Mar 14, 2025
Nullspace
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Orbit (Group)
definition
abstract-algebra/group-theory
Mar 14, 2025
P-Torsion Subgroup
definition
abstract-algebra/group-theory
Mar 14, 2025
P-group
definition
abstract-algebra/group-theory/p-groups
Mar 14, 2025
P-subgroup
definition
abstract-algebra/group-theory/p-groups
Mar 14, 2025
Matrix (Representation of a Linear Map)
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Maximal Ideal
definition
abstract-algebra/ring-theory
Mar 14, 2025
Maximum
definition
analysis/real-analysis
Mar 14, 2025
Minimum
definition
analysis/real-analysis
Mar 14, 2025
Modulus (Absolute Value)
definition
abstract-algebra/vector-spaces
analysis/complex-analysis
Mar 14, 2025
Monic
definition
abstract-algebra/ring-theory/polynomials
Mar 14, 2025
Monotone (Sequence)
definition
analysis/real-analysis
Mar 14, 2025
Isomorphism
definition
abstract-algebra
Mar 14, 2025
Kernel (Ring)
definition
abstract-algebra/ring-theory
Mar 14, 2025
Kernel
definition
abstract-algebra
Mar 14, 2025
Legendre Symbol
definition
number-theory
Mar 14, 2025
Limit
definition
analysis/real-analysis
Mar 14, 2025
Linear Combination
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Linear Independence
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Linear Isomorphism
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Linear Map
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Literal
definition
logic
Mar 14, 2025
Field Extension
definition
abstract-algebra/field-theory
abstract-algebra/vector-spaces
Mar 14, 2025
Field of Fractions
definition
abstract-algebra/ring-theory
Mar 14, 2025
Field
definition
abstract-algebra/field-theory
analysis
Mar 14, 2025
Finite Tableau
definition
tags
Mar 14, 2025
Finite-Dimensional
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Formula Substitution
definition
logic
Mar 14, 2025
Fundamental Isomorphism Theorem (Ring)
definition
abstract-algebra/ring-theory
Mar 14, 2025
Galois Group
definition
abstract-algebra/galois-theory
Mar 14, 2025
Galois Theory
definition
abstract-algebra/galois-theory
Mar 14, 2025
Greatest Common Divisor (in a Ring)
definition
abstract-algebra/ring-theory/commutative-algebra
Mar 14, 2025
Group Actions on Sets
definition
abstract-algebra/group-theory
Mar 14, 2025
Group Algebra
definition
abstract-algebra/ring-theory
Mar 14, 2025
Group Homomorphism
definition
abstract-algebra/group-theory
Mar 14, 2025
Group
definition
abstract-algebra/group-theory
Mar 14, 2025
Homomorphism
definition
abstract-algebra
Mar 14, 2025
Ideal
definition
abstract-algebra/ring-theory
Mar 14, 2025
Image (Ring)
definition
abstract-algebra/ring-theory
Mar 14, 2025
Increasing (Sequence)
definition
analysis/real-analysis
Mar 14, 2025
Infimum
definition
analysis/real-analysis
Mar 14, 2025
Infinite Limit
definition
analysis/real-analysis
Mar 14, 2025
Injective
definition
abstract-algebra
Mar 14, 2025
Integer Congruence
definition
number-theory
Mar 14, 2025
Inverse (Linear Map)
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Irreducible
definition
abstract-algebra/ring-theory
Mar 14, 2025
Isomorphic Vector Spaces
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Algorithm to Find DNF for a Formula
definition
logic
Mar 14, 2025
Annihilator
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Archimedean Property
definition
analysis/real-analysis
Mar 14, 2025
Automorphism
definition
abstract-algebra
Mar 14, 2025
Binary Operation
definition
abstract-algebra
Mar 14, 2025
Category
definition
category-theory
Mar 14, 2025
Cauchy Sequence
definition
analysis/real-analysis
Mar 14, 2025
Characteristic Polynomial
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Commutative Ring
definition
abstract-algebra/ring-theory/commutative-algebra
Mar 14, 2025
Complex Conjugate
definition
abstract-algebra/vector-spaces
analysis/complex-analysis
Mar 14, 2025
Conjugate (Groups)
definition
abstract-algebra/group-theory
Mar 14, 2025
Conjunctive Normal Form
definition
logic
Mar 14, 2025
Contradiction
definition
logic
Mar 14, 2025
Coset
definition
abstract-algebra/group-theory
Mar 14, 2025
Cyclic Group
definition
abstract-algebra/group-theory
Mar 14, 2025
Decreasing (Sequence)
definition
analysis/real-analysis
Mar 14, 2025
Direct Sum
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Disjunctive Normal Form
definition
logic
Mar 14, 2025
Domain
definition
abstract-algebra/ring-theory
Mar 14, 2025
Dual Vector Space
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Eisenstein Irreducibility Criterion
definition
abstract-algebra/ring-theory
Mar 14, 2025
Euclidean Domain
definition
abstract-algebra/ring-theory
abstract-algebra/field-theory
Mar 14, 2025
Examples of Primes in Quadratic Integers
definition
number-theory/quadratic-integers
Mar 14, 2025
Exponent (of a Group)
definition
abstract-algebra/group-theory
Mar 14, 2025
(Internal) Direct Products
definition
abstract-algebra/group-theory
Mar 14, 2025
Abelian Group
definition
abstract-algebra/group-theory
Mar 14, 2025
Absolute Convergence
definition
analysis/real-analysis
Mar 14, 2025
Adequate (for Propositional Logic)
definition
logic
Mar 14, 2025
Algebra on the Set of Linear Maps
definition
abstract-algebra/vector-spaces
Mar 14, 2025
Algebraically Closed Field
definition
abstract-algebra/field-theory
Mar 14, 2025
Algorithm to Find CNF for a Formula
definition
logic