Direct sum decomposition and weak Krull-Schmidt Theorems

Name: Direct sum decomposition and weak Krull-Schmidt Theorems
Brand: LAP Lambert Academic Publishing
SKU: 9783846598740
Price: 1339 CZK
Availability: InStock

A survey on weak Krull-Schmidt Theorems

Autor: Marco Perone

Jazyk:

Vazba: Brožovaná

Vydavatel: LAP Lambert Academic Publishing

Dostupnost: Skladem u dodavatele

Odesíláme za 5-8 dnů

1 339 Kč

In this book we discuss the behaviour of direct sum decomposition in additive categories and in part...

Informace o knize

Autor

Marco Perone

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2011

Stránek

172

EAN

9783846598740

Enbook ID

07046708

Vydavatel

LAP Lambert Academic Publishing

Hmotnost

267

Rozměry

150 x 220 x 10

Kompletní popis

In this book we discuss the behaviour of direct sum decomposition in additive categories and in particular in categories of modules. In the first part, we investigate the ring theoretical properties that play a main role in the theory of factorization in additive categories, like the exchange property, semilocality and Goldie dimension. We stress the importance of the latter and we investigate with care the infinite case of the dual Goldie dimension of rings. In the rest of the book, we use a more categorical approach, studying the behaviour of direct sum decomposition in additive categories. We study classes of categories where the direct sum decomposition behaves regularly, underlining the role played by semilocal endomorphism rings. We analyze the peculiar behaviour of direct sum decomposition in some categories of modules, where the uniqueness of the decomposition is obtained up to two permutations, and we notice how this phenomenon is due to the presence of endomorphism rings of type two. In the last chapter we investigate what happens when we pass from finite direct sum of indecomposable objects to infinite direct sums both at a categorical and a monoid theoretical level.

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také

Nejčastěji hledané

Categories

Authors

Publishers

Produkty

Produkty

Nejčastěji hledané

Categories

Authors

Publishers

Produkty

Produkty

Direct sum decomposition and weak Krull-Schmidt Theorems

A survey on weak Krull-Schmidt Theorems

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také