Structures algébriques généralisées des problèmes de cheminement dans les graphes
Structures of fuzzy ideals of -ring.
Sturdy frames of type (2,2) algebras and their applications to semirings
We introduce sturdy frames of type (2,2) algebras, which are a common generalization of sturdy semilattices of semigroups and of distributive lattices of rings in the theory of semirings. By using sturdy frames, we are able to characterize some semirings. In particular, some results on semirings recently obtained by Bandelt, Petrich and Ghosh can be extended and generalized.
Subalgebras that are Cyclic as Submodules.
Subdirect products of semirings.
Subdivision rings of a semiring
Substructures and radicals of Morita contexts for near-rings and Morita near-rings.
Sur les théorèmes de Sylow pour les groupes avec opérateurs
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.