Amalgamations of Potent, Semipotent, and Semisuitable Rings

Abstract

We investigate the transfer of the notion of semisuitable, potent, and semipotent rings in different settings of the amalgamated algebras along an ideal.
We put the transfer results in use to provide examples subject to the involved ring theoretic notions as well as to recover some previous results related to the transfer of these notions in other constructions such as trivial ring extension.

Key words and phrases. Amalgamation of a ring along an ideal, trivial ring extension, suitable rings, semi-suitable rings, potent rings, semi potent rings.

2010 Mathematics Subject Classification. Primary 13C10, 13C11, 13E05, 13F05, 13H10; Secondary 16A30,16A50,16A52