How Long to Read Manis Valuations and Prüfer Extensions II

By Manfred Knebusch

How Long Does it Take to Read Manis Valuations and Prüfer Extensions II?

It takes the average reader 3 hours and 10 minutes to read Manis Valuations and Prüfer Extensions II by Manfred Knebusch

Assuming a reading speed of 250 words per minute. Learn more

Description

This volume is a sequel to “Manis Valuation and Prüfer Extensions I,” LNM1791. The Prüfer extensions of a commutative ring A are roughly those commutative ring extensions R / A, where commutative algebra is governed by Manis valuations on R with integral values on A. These valuations then turn out to belong to the particularly amenable subclass of PM (=Prüfer-Manis) valuations. While in Volume I Prüfer extensions in general and individual PM valuations were studied, now the focus is on families of PM valuations. One highlight is the presentation of a very general and deep approximation theorem for PM valuations, going back to Joachim Gräter’s work in 1980, a far-reaching extension of the classical weak approximation theorem in arithmetic. Another highlight is a theory of so called “Kronecker extensions,” where PM valuations are put to use in arbitrary commutative ring extensions in a way that ultimately goes back to the work of Leopold Kronecker.

How long is Manis Valuations and Prüfer Extensions II?

Manis Valuations and Prüfer Extensions II by Manfred Knebusch is 190 pages long, and a total of 47,500 words.

This makes it 64% the length of the average book. It also has 58% more words than the average book.

How Long Does it Take to Read Manis Valuations and Prüfer Extensions II Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 19 minutes to read Manis Valuations and Prüfer Extensions II aloud.

What Reading Level is Manis Valuations and Prüfer Extensions II?

Manis Valuations and Prüfer Extensions II is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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