Tensor products of near-ring modules. II.
Ternary rings of Pappian planes
Ternary rings with zero associated to Desarguesian and Pappian planes
Ternary rings with zero associated to translation planes
The Automorphism Group of a Class of Semi-Groups.
The Exterior Derivation and the Orders of Differential Forms on Contractible Algebras.
The hyperrings of order 3.
The inverse semigroup of a sumordered semiring.
The Jordan-Hölder theorem for semirings.
The object of this paper is to prove the Green and Jordan-Hölder theorems in semirings. We follow Rees [11], Green [5], Clifford and Preston [2]. This work is similar to [7] and generalizes [8] and [9]. Although some proofs are parallel to those for semigroups, we explain them here to obtain a complete and self-contained exposition.
The Maslov dequantization, idempotent and tropical mathematics: a brief introduction.
The near-ring of Lipschitz functions on a metric space.
The Near-rings on Groups of Low Order.
The nilpotency of near-rings
The nilpotency of torsion-free rings with given type set
The Semidirect Products of Finite Cyclic Groups That Are I-E Groups.
The semiring of 1-preserving endomorphisms of a semilattice
We prove that the semirings of 1-preserving and of 0,1-preserving endomorphisms of a semilattice are always subdirectly irreducible and we investigate under which conditions they are simple. Subsemirings are also investigated in a similar way.
The Sub-Semi-Groups Excluding Zero of a Near-Ring.
The tropical Grassmannian.
Theory of hyperrings and hyperfields.
Topological Nearrings Whose Additive Groups are Euclidean.