It takes the average reader 3 hours and 27 minutes to read Non-Commutative Valuation Rings and Semi-Hereditary Orders by Hidetoshi Marubayashi
Assuming a reading speed of 250 words per minute. Learn more
Much progress has been made during the last decade on the subjects of non commutative valuation rings, and of semi-hereditary and Priifer orders in a simple Artinian ring which are considered, in a sense, as global theories of non-commu tative valuation rings. So it is worth to present a survey of the subjects in a self-contained way, which is the purpose of this book. Historically non-commutative valuation rings of division rings were first treat ed systematically in Schilling's Book [Sc], which are nowadays called invariant valuation rings, though invariant valuation rings can be traced back to Hasse's work in [Has]. Since then, various attempts have been made to study the ideal theory of orders in finite dimensional algebras over fields and to describe the Brauer groups of fields by usage of "valuations", "places", "preplaces", "value functions" and "pseudoplaces". In 1984, N. 1. Dubrovin defined non-commutative valuation rings of simple Artinian rings with notion of places in the category of simple Artinian rings and obtained significant results on non-commutative valuation rings (named Dubrovin valuation rings after him) which signify that these rings may be the correct def inition of valuation rings of simple Artinian rings. Dubrovin valuation rings of central simple algebras over fields are, however, not necessarily to be integral over their centers.
Non-Commutative Valuation Rings and Semi-Hereditary Orders by Hidetoshi Marubayashi is 204 pages long, and a total of 51,816 words.
This makes it 69% the length of the average book. It also has 63% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 43 minutes to read Non-Commutative Valuation Rings and Semi-Hereditary Orders aloud.
Non-Commutative Valuation Rings and Semi-Hereditary Orders is suitable for students ages 12 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.
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