Author Archives: Peter Scholze

Introduction to Hilbert’s Nullstellensatz and Statement of Hilbert’s Nullstellensatz

Introduction to Hilbert’s Nullstellensatz Hilbert’s Nullstellensatz is a fundamental result in algebraic geometry, named after[See more]

Introduction and Cohen’s Structure Theorem

Introduction Introduction: Cohen’s structure theorem is a fundamental result in the field of algebraic number[See more]

Introduction and Statement of Hensel’s Lemma

Introduction Introduction: Hensel’s lemma is a powerful tool in the field of algebraic number theory[See more]

Introduction to Rational Canonical Form and Definition and Properties of Rational Canonical Form

Introduction to Rational Canonical Form The rational canonical form is a canonical form that matrices[See more]

Introduction to Gauss’s lemma and Explanation of Gauss’s lemma in mathematics

Introduction to Gauss’s lemma Gauss’s lemma, also known as Gaussʼs lemma, is a fundamental result[See more]

Introduction to Fermat’s Little Theorem and Statement of Fermat’s Little Theorem

Introduction to Fermat’s Little Theorem Fermat’s Little Theorem is a fundamental result in number theory,[See more]

Introduction to Chinese remainder theorem and Fundamental concept and principles of Chinese remainder theorem

Introduction to Chinese remainder theorem The Chinese Remainder Theorem (CRT) is a mathematical theorem that[See more]

Introduction to the Cayley-Hamilton theorem and Statement and formulation of the theorem

Introduction to the Cayley-Hamilton theorem The Cayley-Hamilton theorem is a fundamental result in linear algebra[See more]

Introduction and Noether’s second fundamental theorem

Introduction Introduction: Noether’s second fundamental theorem is a significant result in the field of mathematics,[See more]

Introduction to Noether’s first fundamental theorem and Definition of Noether’s first fundamental theorem

Introduction to Noether’s first fundamental theorem Noether’s first fundamental theorem, also known as Noetherʼs first[See more]