The group of homomorphisms of abelian torsion groups
Let G and A be abelian torsion groups. In[5], R. S. Pierce develops a complete set of invariants for Hom(G, A). To compute these invariants he introduces, and uses extensively, the group of small homomorphisms of G into A. Also, using some of Pierce's methods, Fuchs characterizes this group in...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1979-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171279000077 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556381791584256 |
|---|---|
| author | M. W. Legg |
| author_facet | M. W. Legg |
| author_sort | M. W. Legg |
| collection | DOAJ |
| description | Let G and A be abelian torsion groups. In[5], R. S. Pierce develops a complete set of invariants for Hom(G, A). To compute these invariants he introduces, and uses extensively, the group of small homomorphisms of G into A. Also, using some of Pierce's methods, Fuchs characterizes this group in [1]. Our purpose in this paper is to characterize Hom(G, A) in what seems to be a more natural manner than either of the treatments just mentioned. |
| format | Article |
| id | doaj-art-1c2e386106e742b9875295ca68ac92b2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1979-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1c2e386106e742b9875295ca68ac92b22025-02-03T05:45:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-0121698010.1155/S0161171279000077The group of homomorphisms of abelian torsion groupsM. W. Legg0Department of Mathematics, Moorhead State University, Moorhead 56560, Minnesota, USALet G and A be abelian torsion groups. In[5], R. S. Pierce develops a complete set of invariants for Hom(G, A). To compute these invariants he introduces, and uses extensively, the group of small homomorphisms of G into A. Also, using some of Pierce's methods, Fuchs characterizes this group in [1]. Our purpose in this paper is to characterize Hom(G, A) in what seems to be a more natural manner than either of the treatments just mentioned.http://dx.doi.org/10.1155/S0161171279000077abelian torsion groupsgroup of homomorphismsand Ulm invariants. |
| spellingShingle | M. W. Legg The group of homomorphisms of abelian torsion groups International Journal of Mathematics and Mathematical Sciences abelian torsion groups group of homomorphisms and Ulm invariants. |
| title | The group of homomorphisms of abelian torsion groups |
| title_full | The group of homomorphisms of abelian torsion groups |
| title_fullStr | The group of homomorphisms of abelian torsion groups |
| title_full_unstemmed | The group of homomorphisms of abelian torsion groups |
| title_short | The group of homomorphisms of abelian torsion groups |
| title_sort | group of homomorphisms of abelian torsion groups |
| topic | abelian torsion groups group of homomorphisms and Ulm invariants. |
| url | http://dx.doi.org/10.1155/S0161171279000077 |
| work_keys_str_mv | AT mwlegg thegroupofhomomorphismsofabeliantorsiongroups AT mwlegg groupofhomomorphismsofabeliantorsiongroups |