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.
General
| Imprint: |
Springer International Publishing AG
|
| Country of origin: |
Switzerland |
| Release date: |
March 2023 |
| First published: |
2022 |
| Authors: |
N. Bourbaki
|
| Translators: |
Reinie Erne
|
| Dimensions: |
235 x 155mm (L x W) |
| Format: |
Hardcover
|
| Pages: |
493 |
| Edition: |
1st ed. 2023 |
| ISBN-13: |
978-3-03-119292-0 |
| Languages: |
English
|
| Subtitles: |
French
|
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
| LSN: |
3-03-119292-3 |
| Barcode: |
9783031192920 |
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
