This work presents new and old constructions of nearrings. Links between
properties of the multiplicative of nearrings (as regularity conditions
and identities) and the structure of nearrings are studied. Primality
and minimality properties of ideals are collected. Some types of
`simpler' nearrings are examined. Some nearrings of maps on a group are
reviewed and linked with group-theoretical and geometrical questions.
Audience: Researchers working in nearring theory, group theory,
semigroup theory, designs, and translation planes. Some of the material
will be accessible to graduate students