- 期刊
THE GROUP OF HOMOMORPHISMS OF ABELIAN TORSION GROUPS
並列摘要
Let G and A be abelian torsion groups. In[5], R. S. Pierce develops a complete set of invarlants 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.
延伸閱讀
- KUZENNYI, N. F., & SUBBOTIN, I. Y. (2005). ON SEMIABELIAN GROUPS. International Journal of Mathematics and Mathematical Sciences, 2005(), 1989-1994-156. https://doi.org/10.1155/IJMMS.2005.1989
- NATHANSON, M. B. (2004). REPRESENTATION FUNCTIONS OF ADDITIVE BASES FOR ABELIAN SEMIGROUPS. International Journal of Mathematics and Mathematical Sciences, 2004(), 1589-1597-117. https://doi.org/10.1155/S0161171204306046
- Öztürk, M. A., & Yazarli, H. (2013). Homomorphism theorems in Subtraction Algebra. Tamkang Journal of Mathematics, 44(4), 365-375. https://doi.org/10.5556/j.tkjm.44.2013.978
- ABDELALIM, S., & ESSANNOUNI, H. (2003). CHARACTERIZATION OF THE AUTOMORPHISMS HAVING THE LIFTING PROPERTY IN THE CATEGORY OF ABELIAN p-GROUPS. International Journal of Mathematics and Mathematical Sciences, 2003(), 4511-4516-331. https://doi.org/10.1155/S016117120321067X
- TIEUDJO, D. (2005). ABELIAN SUBGROUP SEPARABILITY OF SOME ONE-RELATOR GROUPS. International Journal of Mathematics and Mathematical Sciences, 2005(), 2287-2298-178. https://doi.org/10.1155/IJMMS.2005.2287