Sentence examples of "Moduls" in German

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Translations: all4 module4
Wir betrachten nun paarweise nicht-isomorphe Faktormoduln dieses treuen Moduls. We consider now pairwise non-isomorphic factor modules of this faithful module.
Ein Modul heißt halbeinfach, wenn er die Summe einfacher Untermoduln ist. A module is said to be semisimple if it is the sum of simple submodules.
Der Modul hat bis auf Isomorphie nur abzählbar viele direkte Summanden. The module has only countably many direct summands up to isomorphism.
Der Vollständigkeit halber wollen wir erwähnen, dass der Ring R - als Modul über sich selbst betrachtet - Untermoduln von beliebig großer endlicher Länge besitzt. For the sake of completeness, let us mention that the ring R - considered as a module over itself - has submodules of arbitrarily large finite length.
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