TL;DR
This paper explores minimal finite examples of rings related to 2-primal rings, including various subclasses, to clarify the strictness of class inclusions within ring taxonomy.
Contribution
It provides minimal finite ring examples for multiple classes related to 2-primal rings, expanding the taxonomy with concrete finite cases.
Findings
Finite minimal rings for various classes identified
Examples include reduced, symmetric, duo, reversible, PS~I, NI, abelian, reflexive rings
Clarifies strict class inclusions in ring taxonomy
Abstract
In a paper on the taxonomy of 2-primal rings, examples of various types of rings that are related to commutativity such as reduced, symmetric, duo, reversible and PS~I were given in order to show that the ring class inclusions were strict. Many of the rings given in the examples were infinite. In this paper, where possible, examples of minimal finite rings of the various types are given. Along with the rings in the previous taxonomy, NI, abelian and reflexive rings are also included.
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