Пра гэту электронную кнігу
This book is an English translation of an entirely revised version of the 1958 edition of the eighth chapter of the book Algebra, the second Book of the Elements of Mathematics.
It is devoted to the study of certain classes of rings and of modules, in particular to the notions of Noetherian or Artinian modules and rings, as well as that of radical.
This chapter studies Morita equivalence of module and algebras, it describes the structure of semisimple rings. Various Grothendieck groups are defined that play a universal role for module invariants.The chapter also presents two particular cases of algebras over a field. The theory of central simple algebras is discussed in detail; their classification involves the Brauer group, of which severaldescriptions are given. Finally, the chapter considers group algebras and applies the general theory to representations of finite groups.
At the end of the volume, a historical note taken from the previous edition recounts the evolution of many of the developed notions.
It is devoted to the study of certain classes of rings and of modules, in particular to the notions of Noetherian or Artinian modules and rings, as well as that of radical.
This chapter studies Morita equivalence of module and algebras, it describes the structure of semisimple rings. Various Grothendieck groups are defined that play a universal role for module invariants.The chapter also presents two particular cases of algebras over a field. The theory of central simple algebras is discussed in detail; their classification involves the Brauer group, of which severaldescriptions are given. Finally, the chapter considers group algebras and applies the general theory to representations of finite groups.
At the end of the volume, a historical note taken from the previous edition recounts the evolution of many of the developed notions.
This book is an English translation of an entirely revised version of the 1958 edition of the eighth chapter of the book Algebra, the second Book of the Elements of Mathematics.
It is devoted to the study of certain classes of rings and of modules, in particular to the notions of Noetherian or Ar...
Знайдзіце больш
Ацаніце гэту электронную кнігу
Падзяліцеся сваімі меркаваннямі.
Чытанне інфармацыb
Смартфоны і планшэты
Усталюйце праграму "Кнігі Google Play" для Android і iPad/iPhone. Яна аўтаматычна сінхранізуецца з вашым уліковым запісам і дазваляе чытаць у інтэрнэце або па-за сеткай, дзе б вы ні былі.
Ноўтбукі і камп’ютары
У вэб-браўзеры камп’ютара можна слухаць аўдыякнігі, купленыя ў Google Play.
Электронныя кнiгi i iншыя прылады
Каб чытаць на такіх прыладах для электронных кніг, як, напрыклад, Kobo, трэба спампаваць файл і перанесці яго на сваю прыладу. Выканайце падрабязныя інструкцыі, прыведзеныя ў Даведачным цэнтры, каб перанесці файлы на прылады, якія падтрымліваюцца.
