Idealtheorie für eine Klasse noetherscher Ringe.
Intuitionistic fuzzy -ideals.
Le monoïde d'un ordre maximal. Cas non noethérien
Left ideals in 1-primitive near-rings.
Linear right ideal nearrings.
Linearly compact chain rings.
Local cohomology in classical rings.
The aim of this paper is to establish the close connection between prime ideals and torsion theories in a non necessarily commutative noetherian ring. We introduce a new definition of support of a module and characterize some kinds of torsion theories in terms of prime ideals. Using the machinery introduced before, we prove a version of the Mayer-Vietoris Theorem for local cohomology and establish a relationship between the classical dimension and the vanishing of the groups of local cohomology...
Medial rings and an associated radical
Minimal and maximal ideals in rings with involution.
Minimal prime ideals of skew polynomial rings and near pseudo-valuation rings
Let be a ring. We recall that is called a near pseudo-valuation ring if every minimal prime ideal of is strongly prime. Let now be an automorphism of and a -derivation of . Then is said to be an almost -divided ring if every minimal prime ideal of is -divided. Let be a Noetherian ring which is also an algebra over ( is the field of rational numbers). Let be an automorphism of such that is a -ring and a -derivation of such that for all . Further, if for any...
More on matrix near-rings.
More on Morita contexts for near-rings.
Near-rings in which each prime factor is simple.
Necklace rings and their radicals.
Nil right ideals in inverse semigroup algebras.
Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra
Let be an arbitrary parabolic subalgebra of a simple associative -algebra. The ideals of are determined completely; Each ideal of is shown to be generated by one element; Every non-linear invertible map on that preserves ideals is described in an explicit formula.
Normalizing extensions of semiprime rings.
O automorfismech definovaných na okruhu endomorfismů homogenního totálně rozložitelného modulu
On a certain identitiy satisfied by a derivation and an arbitrary additive mapping. (Summary).
On a certain identity satisfied by a derivation and an arbitrary additive mapping.