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Moduln Und Ringe
Paperback
Series: Mathematische Leitfäden
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ISBN10: 3519022117
ISBN13: 9783519022114
Publisher: Springer Nature
Published: Feb 1 1977
Pages: 328
Weight: 1.17
Height: 0.69 Width: 6.69 Depth: 9.61
Language: German
ISBN13: 9783519022114
Publisher: Springer Nature
Published: Feb 1 1977
Pages: 328
Weight: 1.17
Height: 0.69 Width: 6.69 Depth: 9.61
Language: German
Mit diesem Buch werden vor allem zwei Ziele angestrebt. Einmal sollen die Grund- begriffe der Theorie der Moduln und Ringe dargestellt werden. Dabei ist die Darstel- lung so ausflihrlich gehalten, da das Buch auch zum Selbststudium geeignet ist. Andererseits ist es meine Absicht, gewisse Gegenstände. die bisher keine lehrbuch- mä ige Darstellung gefunden haben, jedoch in diesem Gebiet einen wichtigen Platz einnehmen, in leicht zugänglicher Weise zu entwickeln. Es handelt sich insbesondere um Ringe mit vollkommener Dualität und Quasi-Frobeniusringe (QF-Ringe). Zusammenfassend soll das Buch den Leser in die Lage versetzen, von den einfachste! Grundbegriffen ausgehend bis zu Fragestellungen und Überlegungen vorzudringen, die in der wissenschaftlichen Entwicklung von aktuellem Interesse sind. Dieser Absicht dienen auch die zahlreichen Übungen von verschiedenem Schwierig- keitsgrad. Dabei soll nicht nur der im Text behandelte Stoff geübt, sondern auch Begriffe und Entwicklungsrichtungen berührt werden, die im Buch sonst keine Be- handlung finden. Der Aufbau des Buches ist von der Überzeugung bestimmt, da die Begriffe pro- j e k t ver i und i n j e k ver t i M 0 d u 1 zu den wichtigsten Grundbegriffen der Theorie der Moduln und Ringe gehören und daher möglichst an den Anfang gestellt werden sollen. Diese Begriffe können dann auch bereits bei der Behandlung von klassischen Teilen der Theorie benutzt werden.
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