| Description |
1 online resource (xii, 247 pages) |
| Series |
Frontiers in mathematics |
|
Frontiers in mathematics.
|
| Contents |
Modules with chain conditions -- Ranks of groups -- Some generalized nilpotent groups -- Artinian modules and the socle -- Reduction to subgroups of finite index -- Modules over Dedekind domains -- The Kovacs-Newman theorem -- Hartley's classes of modules -- The injectivity of some simple modules -- Direct decompositions in artinian modules -- On the countability of artinian modules over FC-hypercentral groups -- Artinian modules over periodic abelian groups -- Nearly injective modules -- Artinian modules over abelian groups of finite section rank -- The injective envelopes of simple modules over group rings -- Quasifinite modules -- Some applications: splitting over the locally nilpotent residual |
| Summary |
Highlights developments on artinian modules over group rings of generalized nilpotent groups. This work includes traditional topics such as direct decompositions of artinian modules, criteria of complementability, and criteria of semisimplicity of artinian modules. It also allows a generalization of Maschke Theorem in classes of infinite groups |
| Bibliography |
Includes bibliographical references (pages 227-244) and index |
| Notes |
Print version record |
| In |
Springer e-books |
| Subject |
Artin rings.
|
|
Group rings.
|
|
Nilpotent groups.
|
|
Algebra.
|
|
algebra.
|
|
MATHEMATICS -- Algebra -- Intermediate.
|
|
Group rings.
|
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Nilpotent groups.
|
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Artin rings.
|
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Artin rings
|
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Group rings
|
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Nilpotent groups
|
| Form |
Electronic book
|
| Author |
Otal, Javier
|
|
Subbotin, Igor Ya., 1950-
|
| ISBN |
9783764377656 |
|
3764377658 |
|
376437764X |
|
9783764377649 |
|
