Module theory over commutative asociative rings is usually extended to noncommutative associative rings by introducing the category of left (or right) modules. An alternative to this procedure is suggested by considering bimodules. A refined module theory for associative rings is used to investigate the bimodule structure of arbitary algebras and group actions on these algebras.
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Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
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Höhe: 280 mm
Breite: 210 mm
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ISBN-13
978-0-582-28981-9 (9780582289819)
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Schweitzer Klassifikation
Basic notions; modules over associative algebras; torsion theories and prime modules; tensor products; local-global techniques; radicals of algebras; modules for algebras; separable and biregular algebras; localization of algebras; groups actions on algebras.