Maximal subrings and <Emphasis Type="Italic">E</Emphasis>-groups |
| |
| Authors: | C J Maxson M R Pettet |
| |
| Institution: | (1) Department of Mathematics, Texas A&M University, College Station, TX 77843, USA;(2) Department of Mathematics, University of Stellenbosch, 7600 Stellenbosch, South Africa;(3) Department of Mathematics, University of Toledo, Toledo, OH 43603, USA |
| |
| Abstract: | For a finite group G, let E(G) denote the near-ring of functions generated by the semigroup, End(G), of endomorphisms of G. We characterize when E(G) is maximal as a subnear-ring of M
0(G). A group G is an E-group if E(G) is a ring. We give a new characterization of finite E-groups and investigate the problem of determining, for finite E-groups, when E(G) is maximal as a ring in M0(G).
Received: 26 June 2006 |
| |
| Keywords: | Primary 16Y30 Secondary 20E99 20F99 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
