Elementary definitions; Extensions of fields; Galois theory; Applications.
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"Dans un style moderne et accessible, cet ouvrage offre une introduction claire et précise aux théories des modules et des catégories, ainsi qu'à l'étude des anneaux. A travers trois grandes parties, l'auteur garde comme fil conducteur l'étude des modules sur une K-algèbre. Aprè…
Groups and endomoprphism; Vector spaces; Non-commutative principal ideal domains; Strucutre of rings of endomorphisms and of abstract rings; Algebras over a field; Multiplicative ideal theory.
"The book is devoted to the combinatorial theory of polynomial algebras, free associative and free Lie algebras, and algebras with polynomial identities. It also examines the structure of automorphism groups of free and relatively free algebras. It is based on graduate courses a…
