NDLI: On Projectively Fully Transitive Abelian p-Groups

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On Projectively Fully Transitive Abelian p-Groups

Content Provider	Springer Nature Link
Author	Danchev, Peter Goldsmith, Brendan
Copyright Year	2012
Abstract	There are two natural questions which arise in connection with the endomorphism ring of an Abelian group: when is the ring generated by its idempotents and when is the ring generated additively by its idempotents? The present work investigates these two questions for Abelian p-groups. This leads in a natural way to consideration of two strengthened versions of Kaplansky’s notion of full transitivity, which we call projective full transitivity and strong projective full transitivity. We establish, inter alia, that these concepts are strictly stronger than the classical concept of full transitivity but there are nonetheless many strong parallels between the notions.
Ending Page	1130
Page Count	22
Starting Page	1109
File Format	PDF
ISSN	14226383
e-ISSN	14209012
Journal	Results in Mathematics
Issue Number	3
Volume Number	63
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2012-05-17
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	projectively fully transitive groups transitive and fully transitive groups projection-invariant subgroups Abelian p-groups Torsion groups, primary groups and generalized primary groups fully invariant subgroups Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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