Themes In Torsion Theory: Relatively Max, Injective And Extending (Cs) Modules

Charalambides, Stelios; Charalambides, Stelios

ISBN 10: 3639157826 / ISBN 13: 9783639157826

Published by Vdm Verlag Dr. Müller, 2009

About this Item

140 pages. 8.78x6.10x0.47 inches. In Stock.

Seller Inventory # __3639157826

Bibliographic Details

• Title: Themes In Torsion Theory: Relatively Max, Injective And Extending (Cs) Modules
• Publisher: Vdm Verlag Dr. Müller
• Publication Date: 2009
• Language: English
• ISBN 10: 3639157826
• ISBN 13: 9783639157826
• Binding: Paperback
• Condition: Brand New
• Weight: 0.2 kilograms

About this title

Synopsis

The purpose of this book is to generalize to the torsion-theoretic setting various concepts and results from the theory of rings and modules. In particular we work in the areas of chain conditions on modules, injectivity and CS (extending) modules. At the outset we acquaint the reader with the main ideas used in torsion theory. We then obtain results that fall into three more or less interrelated areas. In the first area we introduce a torsion-theoretic analogue of Max modules and generalize an important characterization of Noetherian rings by Shock. The second area deals with various flavors of relative injectivity. We generalize well-known results by Fuchs, Azumaya, Faith, Albu and Nastasescu and Cailleau. In the third area we introduce a couple of new concepts with the aim of bringing to the torsion-theoretic setting the concept of a CS or extending module. Our motivation is to provide a torsion-theoretic analogue of a celebrated result by Okado. This book should appeal to researchers in the theory of rings and modules with particular emphasis on torsion theory.

About the Author

Stelios A. Charalambides, BSc, MSc, PhD. Studied Mathematics (Ring Theory) at Winnipeg, Simon Fraser and Otago Universities. Earned several scholarships including two form the Commonwealth. Held various teaching and research positions in Canada, Cyprus, New Zealand, USA and Norway. Currently a Research Fellow at Cyprus University of Technology.