There are two main purposes for the wntmg of this monograph on
factorial rings and the associated theory of the divisor class
group of a Krull domain. One is to collect the material which has
been published on the subject since Samuel's treatises from the
early 1960's. Another is to present some of Claborn's work on
Dedekind domains. Since I am not an historian, I tread on thin ice
when discussing these matters, but some historical comments are
warranted in introducing this material. Krull's work on finite
discrete principal orders originating in the early 1930's has had a
great influence on ring theory in the suc ceeding decades. Mori,
Nagata and others worked on the problems Krull suggested. But it
seems to me that the theory becomes most useful after the notion of
the divisor class group has been made func torial, and then related
to other functorial concepts, for example, the Picard group. Thus,
in treating the group of divisors and the divisor class group, I
have tried to explain and exploit the functorial properties of
these groups. Perhaps the most striking example of the exploitation
of this notion is seen in the works of I. Danilov which appeared in
1968 and 1970."
General
| Imprint: |
Springer-Verlag
|
| Country of origin: |
Germany |
| Series: |
Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, 74 |
| Release date: |
April 2012 |
| First published: |
1973 |
| Authors: |
Robert M Fossum
|
| Dimensions: |
235 x 155 x 8mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
150 |
| Edition: |
Softcover reprint of the original 1st ed. 1973 |
| ISBN-13: |
978-3-642-88407-8 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
Groups & group theory
Promotions
|
| LSN: |
3-642-88407-5 |
| Barcode: |
9783642884078 |
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