On convex topological halfalgebras
On generalized gamma near-fields.
On idempotent semifields and a paper by H. Hutchins.
On quasi-ideals of semirings.
On ternary semifields
In this paper, we introduce the notion of ternary semi-integral domain and ternary semifield and study some of their properties.In particular we also investigate the maximal ideals of the ternary semiring Z¯₀.
On the -generated -near-fields
On the Knuth semi-fields.
On the multiplicative structure of finite division rings.
On the rank of semimodules over semirings.
On valuations of nearfields
One generalization of quasifield
Places of alternative fields
Quasi-additive functions.
Recent results in hyperring and hyperfield theory.
Semifields and a theorem of Abhyankar
Abhyankar proved that every field of finite transcendence degree over or over a finite field is a homomorphic image of a subring of the ring of polynomials (for some depending on the field). We conjecture that his result cannot be substantially strengthened and show that our conjecture implies a well-known conjecture on the additive idempotence of semifields that are finitely generated as semirings.
Semi-homomorphisms of near-rings.
Seminearrings, seminearfields and their semigroup-theoretical background.
Sharply Transitive Linear Groups and Nearfields over p-adic Fields.
Simple zeropotent paramedial groupoids are balanced
This short note is a continuation of and and its purpose is to show that every simple zeropotent paramedial groupoid containing at least three elements is strongly balanced in the sense of .
Some remarks on partitioning semirings.