Canonical Embedding: Fields and Lattices

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Field of Fractions: Definition and Properties

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Covers commutative ring morphisms, subrings, and injective ring morphisms.

Injective Morphisms in Mathematics

Introduces injective morphisms and vector spaces with examples and verification methods.

Lifting Properties in Model Categories: An Overview

Provides an overview of lifting properties in model categories, focusing on their definitions and implications for morphisms and commutative diagrams.

Commutative Rings and Fields

Covers commutative rings, fields, injective morphisms, characteristic, Frobenius, and binomial theorem.

Crystallography: Describing Periodic Structures

Covers crystallography, lattice structures, vectors, and diffraction patterns.

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Covers the concept of morphism of groups, actions on sets, and automorphisms.

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Explores quantum field theory, focusing on fermions and Grassmann numbers in the path integral formalism.