Lattice Concepts of Module Theory
Author:   Grigore Calugareanu
Publisher:   Springer
Edition:   2000 ed.
Volume:   22
ISBN:  

9780792364887


Pages:   225
Publication Date:   31 August 2000
Format:   Hardback
Availability:   In Print   Availability explained
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Lattice Concepts of Module Theory


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Overview

This volume is dedicated to the use of lattice theory in module theory. Its main purpose is to present all module-theoretic results that can be proved by lattice theory only, and to develop the theory necessary to do so. The results treated fall into categories such as the origins of lattice theory, module-theoretic results generalized in modular and likely compactly generated lattices, very special module-theoretic results generalized in lattices, and new concepts in lattices introduced by the author.

Full Product Details

Author:   Grigore Calugareanu
Publisher:   Springer
Imprint:   Springer
Edition:   2000 ed.
Volume:   22
Dimensions:   Width: 15.60cm , Height: 1.50cm , Length: 23.40cm
Weight:   1.160kg
ISBN:  

9780792364887


ISBN 10:   0792364880
Pages:   225
Publication Date:   31 August 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface. List of Symbols. 1. Basic notions and results. 2. Compactly generated lattices. 3. Composition series. Decompositions. 4. Essential elements. Pseudo-complements. 5. Socle. Torsion lattices. 6. Independence. Semiatomic lattices. 7. Radical Superfluous and fully invariant elements. 8. Lattices of finite uniform dimension. 9. Purity and neatness in lattices. 10. Coatomic lattices. 11. Co-compact lattices. 12. Supplemented lattices. Locally artinian lattices. 13. Several dimensions. 14. Solutions of exercises. Bibliography. Index.

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