Almost Completely Decomposable Groups
Adolf Mader
An almost completely decomposable abelian (acd) group is an extension of a finite direct sum of subgroups of the additive group of rational numbers by a finite abelian group. Examples are easy to write and are frequently used but have been notoriously difficult to study and classify because of their computational nature. However, a general theory of acd groups has been developed and a suitable weakening of isomorphism, Lady's near-isomorphism, has been established as the rightconcept for studying acd groups. A number of important classes of acd groups has been successfully classified. Direct sum decompositions of acd groups are preserved under near-isomorphism and the well-known pathological decompositions can actually be surveyed in special cases.
Kategoriler:
Cilt:
13
Yıl:
2018
Yayımcı:
CRC Press
Dil:
english
Sayfalar:
366
ISBN 10:
9056992252
ISBN 13:
9789056992255
Seriler:
Algebra, Logic and Applications
Dosya:
DJVU, 3.04 MB
IPFS:
,
english, 2018
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