On some classes of modules and their endomorphism ring

Mai Hoang Bien

ISBN 10: 3659614041 / ISBN 13: 9783659614040

Published by LAP LAMBERT Academic Publishing, 2014

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - The first aim of this book is to generalize this result from indecomposable modules to square-free ones by showing that an injective module is square-free if and only if its endomorphism ring is quasi-duo. The second aim is to describe all maximal right (left, two-sided) ideals of the endomorphism ring of an arbitrary injective module. And the third aim is to study two classes of modules: Loewy modules with finite Loewy invariants over an arbitrary ring and max modules with finite radical invariants over a semilocal ring.

Seller Inventory # 9783659614040

Bibliographic Details

• Title: On some classes of modules and their endomorphism ring
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2014
• Language: English
• ISBN 10: 3659614041
• ISBN 13: 9783659614040
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 7D millimeters 220 millimeters width by 150 millimeters height by 7 millimeters depth
• Weight: 155 grams

About this title

Synopsis

The first aim of this book is to generalize this result from indecomposable modules to square-free ones by showing that an injective module is square-free if and only if its endomorphism ring is quasi-duo. The second aim is to describe all maximal right (left, two-sided) ideals of the endomorphism ring of an arbitrary injective module. And the third aim is to study two classes of modules: Loewy modules with finite Loewy invariants over an arbitrary ring and max modules with finite radical invariants over a semilocal ring.

About the Author

Mai Hoang Bien was born on 15th of February 1982 in Dong Nai, Vietnam. From September 2011 to September 2014, he was a PhD student of the ALGANT doctoral programme at Leiden University and Padova University under the guidance of Professor Hendrik W. Lenstra and Professor Alberto Facchini. He defended his PhD thesis on 27th of May, 2014.