Finitely generated commutative division semirings
-integral near-rings.
Homomorphisms of projective planes over quasifields and nearfields
Idempotent semigroups and tropical algebraic sets
The tropical semifield, i.e., the real numbers enhanced by the operations of addition and maximum, serves as a base of tropical mathematics. Addition is an abelian group operation, whereas the maximum defines an idempotent semigroup structure. We address the question of the geometry of idempotent semigroups, in particular, tropical algebraic sets carrying the structure of a commutative idempotent semigroup. We show that commutative idempotent semigroups are contractible, that systems of tropical...
Iperanelli ed ipercorpi
Kopplungen auf einem quadratischen Zahlkörper und eine Basis seiner Normengruppe.
KT-nearfields of rank 2.
Matrix spread sets of -primitive semifield planes.
Methods of constructing hyperfields.
Near Integral Domains on Nonabelian Groups.
Near Rings with Chain Condition.
Near Rings Without Zero Divisors.
Nichtkommutative Geometrie und verallgemeinerte Hughes-Ebenen.
Normale Fastkörper mit kommutativer bzw. zweiseitiger Inzidengruppe.
Normale Teilquasikörper eines Fastringes. Der Satz von Cartan-Brauer-Hua.
Norms on semirings. I.
Notes on commutative parasemifields
Parasemifields (i.e., commutative semirings whose multiplicative semigroups are groups) are considered in more detail. We show that if a parasemifield contains as a subparasemifield and is generated by , , as a semiring, then is (as a semiring) not finitely generated.
On a class of near-rings sum of near-fields
On a Decomposition of Near-rings in a Subdirect sum of Near-fields
On characterizing nearfields.