The fully invariant extending property for abelian groups

Communications in Algebra

Volumn 29, Issue 2, 2001, Pages 673-685

  Birkenmeier, Gary F ^a   Cǎlugǎreanu, Grigore ^b   Fuchs, Laszlo ^c   Goeters, H Pat ^d  

^a Department of Mathematics   (United States)

^b BABE BOLYAI UNIVERSITY   (Romania)

^c Tulane University   (United States)

^d AUBURN UNIVERSITY   (United States)

Author keywords

Abelian group; Fully invariant; Mixed group; Rank; Torsion; Torsion free; irreducible

Indexed keywords

EID: 0035589257     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1081/AGB-100001532     Document Type: Article

References (8)

1. Dung, N.V; Huynh, D.V.; Smith, P.; Wisbauer, R. Extending Modules; Pitman: London, 1994.
2. Birkenmeier, G.F.; Müller, B.J.; Rizvi, S.T. Modules in Which Every Fully Invariant Submodule is Essential in a Direct Summand Comm. Algebra, to appear.
3. Fuchs, L. Infinite Abelian Groups, I-II; Academic Press: New York, 1970, 1973.
4. Reid, J.D. On Quasi-Decompositions of Abelian Groups. Proc. Amer. Math. Soc. 1962, 13, 550-554.
5. Reid, J.D. On the Ring of Quasiendomorphisms of a Torsion-Free Group. In Topics in Abelian Groups; Chicago, 1963; 51-68.
6. Reid, J.D. Abelian Groups Finitely Generated over Their Endomorphism Rings. In Abelian Group Theory, Lecture Notes in Math. 874; Springer, 1981; 41-52.
7. Zassenhaus, H. Orders as Endomorphism Rings of Modules of the Same Rank. J. London Math. Soc. 1967, 42, 195-212.
8. Bourbaki, N. Algèbre Commutative, Chap. 3: Graduations, Filtrations et Topologies; Hermann, 1961.