Trivial ring extension of suitable-like conditions and some properties

الملخص EN

We investigate the transfer of the notion of suitable rings along with related concepts, such as potent and semipotent rings, in the general context of the trivial ring extension, then we put these results in use to enrich the literature with new illustrative and counter examples subject to these ringtheoretic notions.

Also we discuss some basic properties of the mentioned notions.