Almost Completely Decomposable Groups: 13 (Algebra, Logic and Applications) - Hardcover

Mader, A

Hardcover

ISBN 10: 9056992252 ISBN 13: 9789056992255

Publisher: CRC Press, 2000

Synopsis

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.

About this title

About the Author

A Mader

Edition details

• Publisher: CRC Press
• Publication date: 2000
• Language: English
• ISBN 10: 9056992252
• ISBN 13: 9789056992255
• Binding: Hardcover
• Edition number: 1
• Number of pages: 366