Fitting structures

Karsten Johnsen and Harmut Laue

Vol. 122 (1986), No. 1, 111–128

DOI: 10.2140/pjm.1986.122.111

Abstract

Motivated by papers of H. Fitting, the problem arises whether there exists a ring which contains a given ring and a semigroup acting on each other. This problem is solved in the affirmative by the construction of a “universal envelopment”. Furthermore, the situation investigated gives rise to a generalized wreath product which is used for a description of certain automorphism groups.

Mathematical Subject Classification 2000

Primary: 20E99

Secondary: 20E22, 20F28, 16A99

Milestones

Received: 8 March 1984

Published: 1 March 1986