On the Centralizer of a semigroup of group endomorphisms.
On the multiplicative semi-group of near-rings.
On the radicals of near-rings with defect of distributivity.
On the Summands of Near-Rings with ATM.
On unital extensions of near-rings and their radicals.
On valuations of nearfields
On weakly -subcommutative near-rings.
On well-ordered groups and near-rings
On zero-symmetric nearrings with identity whose additive groups are simple
We investigate conditions on an infinite simple group in order to construct a zero-symmetric nearring with identity on it. Using the Higman-Neumann-Neumann extensions and Clay’s characterization, we obtain zero-symmetric nearrings with identity with the additive groups infinite simple groups. We also show that no zero-symmetric nearring with identity can have the symmetric group as its additive group.