International Journal of Mathematics and Mathematical Sciences 
Volume 11 (1988), Issue 2, Pages 231-238
doi:10.1155/S0161171288000274

On extending endomorphisms to automorphisms

Hilbert Levitz1 and Warren Nichols2

 1Department of Computer Science, Florida State University, Tallahassee 32306-4019, FL, USA
2Department of Mathematics, Florida State University, Tallahassee 32306-3027, FL, USA
Received 26 January 1987; Revised 18 March 1987

Abstract

A monic endomorphism of a structure A can be extended to an automorphism of a larger structure A*. We investigate which properties are preserved by this process.