| Ideals of a finite semiring (B(n,i) in our case)
under inclusion form a very interesting structure; in most cases, much
more complicated than ideals of a finite ring. Such a structure can be
easily represented by a diagram in which points represent ideals and lines
represent relations between them. In 2D, lines often intersect, and the
diagram becomes quite confusing. The goal of this project is to create
an application that would allow us to represent the structure of ideals
on a 3D diagram (without crossing lines). In the result, the diagram would
become clearer and easy to investigate.
Further, improving the application so that it
distinguishes subtractive, prime, idempotent, maximal, and minimal ideals
would help in describing connections between those types of ideals. |
