Groups of Divisibility

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Springer Science & Business Media, Aug 31, 1983 - Mathematics - 184 pages
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Contents

INTRODUCTION
1
1 PARTIALLYORDERED GROUPS
5
2 GROUPS OF DIVISIBILITY
13
3 BASIC PROPERTIES OF dGROUPS
22
4 dCONVEX SUBGROUPS
28
5 VALUATIONS OF dGROUPS
36
6 APPROXIMATION THEOREMS
48
7 REALIZATION OF GROUPS OF DIVISIBILITY
87
8 JAFFARDOHMs THEOREM
96
9 EXACT SEQUENCES OF GROUPS OF DIVISIBILITY
112
10 GROUPS OF DIVISIBILITY OF KRULL DOMAINS
120
11 TOPOLOGICAL GROUPS OF DIVISIBILITY
130
12 APPLICATIONS OF GROUPS OF DIVISIBILITY
149
13 GENERALIZATIONS OF SEMIVALUATIONS
163
REFERENCES
172
SUBJECT INDEX
180

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