Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.mccme.ru/mathinmoscow/listcur/Advanced%20Algebra.htm Дата изменения: Mon Jul 22 17:50:44 2013 Дата индексирования: Fri Feb 28 00:13:41 2014 Кодировка: Поисковые слова: mercury program

D.S.Dummit, R.M.Foote, Abstract Algebra.

Robert B.Ash, Abstract Algebra: The Basic Graduate Year. "; $programm = "

Tensor product. Its universality. Canonical isomorphisms.

Coordinates of a tensor and their transformations under change of variables.

Tensor algebra. Symmetric and exterior algebras. Symmetric and skew-symmetric tensors.

Simple groups. Solvable groups. Sylow's theorems.

Representations. Irreducible representations. Schur's lemma.

Semisimple algebras and modules.

Group algebra. The Maschke theorem.

Theory of characters.

Algebraic extensions of fields.

Galois extensions. Galois correspondence. "; ?>