Decomposition of a semiring into division semirings
Defect And Radicals Of Δ-Endomorphism Near-Rings
Derivations in some finite endomorphism semirings
The goal of this paper is to provide some basic structure information on derivations in finite semirings.
D.G. Near Rings on Certain Groups.
D.G. Near Rings on Certain Groups.
Die Lösung eines Problems von Havel
Diophantische Gleichungen und die universelle Eigenschaft Finslerscher Zahlen.
Directoids with an antitone involution
We investigate -directoids which are bounded and equipped by a unary operation which is an antitone involution. Hence, a new operation can be introduced via De Morgan laws. Basic properties of these algebras are established. On every such an algebra a ring-like structure can be derived whose axioms are similar to that of a generalized boolean quasiring. We introduce a concept of symmetrical difference and prove its basic properties. Finally, we study conditions of direct decomposability of directoids...
Distributive lattices of t-k-Archimedean semirings
A semiring S in 𝕊𝕃⁺ is a t-k-Archimedean semiring if for all a,b ∈ S, b ∈ √(Sa) ∩ √(aS). Here we introduce the t-k-Archimedean semirings and characterize the semirings which are distributive lattice (chain) of t-k-Archimedean semirings. A semiring S is a distributive lattice of t-k-Archimedean semirings if and only if √B is a k-ideal, and S is a chain of t-k-Archimedean semirings if and only if √B is a completely prime k-ideal, for every k-bi-ideal B of S.
Distributively generated near-rings with descending chain condition.
Division Semirings with 1 + 1 = 1 .