Lattice Concepts of Module Theory
It became more and more usual, from, say, the 1970s, for each book on Module Theory, to point out and prove some (but in no more than 15 to 20 pages) generalizations to (mostly modular) lattices. This was justified by the nowadays widely accepted perception that the structure of a module over a ring...
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| Format: | eBook |
| Language: | English |
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Dordrecht
Springer Netherlands
2000, 2000
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| Edition: | 1st ed. 2000 |
| Series: | Texts in the Mathematical Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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