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Lecture
Algebraic Structures: Groups and Rings
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Related lectures (29)
Elementary Algebra: Numeric Sets
Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.
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Explores prime numbers, coprime integers, and their properties in number theory.
Complex Numbers: Gauss Numbers
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Algebraic Structures: Fields and Vectorial Spaces
Covers prime numbers, vectors, 3D geometry, crystallography, and algebraic structures in materials science.
Introduction to Finite Fields
Covers the basics of finite fields, including arithmetic operations and properties.
Fundamental Theorem of Arithmetic
Covers prime numbers, unique decomposition of natural numbers into prime factors, and practical implications for calculations.
Algebraic Structures and Crystallography
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Tensor Spaces and Unitary Representations
Explores tensor spaces, unitary representations, and prime factorization in mathematical presentations.
Number Theory: History and Concepts
Explores the history and concepts of Number Theory, including divisibility and congruence relations.
Arithmetic Fundamentals: Equivalence and Irreducibility
Covers the fundamental theorem of arithmetic, focusing on equivalence and irreducibility of integers.
Prime Numbers: Euclid's Theorem
Explores prime numbers and Euclid's Theorem through a proof by contradiction.
Linear Independence and Bases
Covers linear independence, bases, and coordinate systems with examples and theorems.
Linear Algebra: Matrices and Vector Spaces
Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.
Linear Applications: Definitions and Properties
Explores the definition and properties of linear applications, focusing on injectivity, surjectivity, kernel, and image, with a specific emphasis on matrices.
Concrete Categories
Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.
Integers: Well Ordering and Induction
Explores well ordering, induction, Euclidean division, and prime factorization in integers.
Linear Algebra Basics
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