Zur Charakterisierung der Ordnungen in Fastringen.
Über geordnete Kompositionsringe.
Near-Rings of Polynomials over ...-Groups.
Characterization of all order relations in direct sums of ordered groups.
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.
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