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Noetherian Stable Domains

✍ Scribed by H.Pat Goeters

Book ID
102576163
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
178 KB
Volume
202
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

A contemporary approach to studying commutative rings is to take a given theorem for abelian groups, then interpret the statement for a ring R. The validity of the new statement for R usually imposes some w x restrictions upon the structure of R. Warfield 32 showed that for torsion-free abelian groups A and B, when A has rank 1, the natural map Ε½ . Hom A, B m A Βͺ B is an embedding with image equal to the En dΕ½ A.

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