… Similar to ring theory, "modules over a near-ring N" ("nearmodules" or "N-groups") will be …
of near-rings. This section contains the basic definitions, examples and properties of near-rings …

… This paper discusses some of the elementary properties of near-rings. The notation and
definitions are chosen so that ring theory is a special case. In Section 2 examples of …

… a soft set effects on a near-ring structure by means … basic properties with illustrative examples.
Moreover, we obtain some analog of classical near-ring theoretic concepts for soft int near-…

… Sezgin, Soft Near-rings, submitted] and show … the properties of idealistic soft near-rings with
respect to the near-ring mappings and we show that the structure is preserved under the near…

… paper R will denote a near-ring. (All near-rings herein are left nearrings. Our notation and …
The basic properties of prime ideals in near-rings are well-known, having been discussed at …

… This chapter will include all the basic definitions … We begin by defining what we mean by a
'near-ring'. Ill. … nearrings with dae on right ideals and an identity by Wielandt and Betach but is …

… rings in which addition need not be commutative. The first real structural theorems on near
rings … theory of simple and semi-simple rings to near-rings. These extensions, which exhibit a …

… As matrix near-rings are relatively new still, we give a quick account of the basic facts, but
assume a general knowledge of near-rings. All our near-rings will be zero-symmetric and have …

… In this section we define a new notion called near polynomial rings which are nearrings only
when the near-ring N is of the special form, otherwise the near polynomial ring will fail to be …

… the basic properties of medial, left permutable, right permutable and commutative nearrings. …
Mason [15] introduced strong forms of regularity for nearrings and examined some relations …