Endomorphism

Related lectures (32)

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Covers the Jordan normal form and the decomposition of vector spaces by an endomorphism.

Covers group morphisms, conjugation, isomorphism, and automorphism concepts.

Explores group homomorphisms, Euler's phi function, and group products.

Discusses linear applications between vector spaces and properties of endomorphisms and automorphisms.

Covers the properties of rings, examples of rings, and polynomials.

Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Explores matrix determinant properties, inverse, transpose, and applications in solving equations.

Explores division polynomials, theorems, spectral values, and minimal polynomials in endomorphisms and vector spaces.

Covers the properties of finite dimensional algebras and non-semisimple representations.