Category Archives: Math

Introduction to Sylow theorems and Statement of Sylow theorems

Introduction to Sylow theorems The Sylow theorems are a series of results in group theory[See more]

Introduction and Statement of Noether’s normalization lemma

Introduction Introduction: Noether’s normalization lemma is a fundamental result in algebraic geometry that provides a[See more]

Introduction to Unique Factorization in Mathematics and Definition of Unique Factorization

Introduction to Unique Factorization in Mathematics In mathematics, unique factorization (also known as unique factorization[See more]

Definition of abelian groups and Statement of the Fundamental Theorem of Abelian Groups

Definition of abelian groups An abelian group is a mathematical structure consisting of a set[See more]

Introduction to Quotient Field in Mathematics and Definition of Quotient Field

Introduction to Quotient Field in Mathematics In mathematics, the quotient field refers to a construction[See more]

Definition of normal extension and Properties of normal extensions

Definition of normal extension A normal extension is a concept in field theory, which is[See more]

Introduction to Eigenmatrix and Definition and Properties of Eigenmatrix

Introduction to Eigenmatrix An eigenmatrix, also known as an eigenvector matrix, is a square matrix[See more]

Introduction and Definition of Homomorphism theorem

Introduction Introduction: The homomorphism theorem is a fundamental result in algebra that relates the structure[See more]

Introduction to Cramer’s Rule and The Formula for Cramer’s Rule

Introduction to Cramer’s Rule Cramer’s Rule, named after the Swiss mathematician Gabriel Cramer, is a[See more]

Introduction to Universal Property and Definition and Explanation of Universal Property

Introduction to Universal Property The concept of Universal Property is a fundamental concept in mathematics[See more]