摘要
用建立从自由Ａｂｅｌ群到实数加群的同态的方法，讨论了自由Ａｂｅｌ群上的超群，得到的结论是自由Ａｂｅｌ群上的超群同构于实数加群或其子群．
n paper (1), hypergroups are defined and stueied. In peper (2) and (3), they are discussed in detail. In this paper, the hypergroups on free Abel around will be researched.
关键词
群
自由Abel群
超群
幂等元
拟商群
groups, free Abel groups, idempotent element, hypergroups, quasi-factor groups
