AbstractIt is shown that the class of all strong radicals containing the prime radical is not a sublattice of the lattice of all radicals. This gives a negative answer to some questions of Sands and Puczylowski
We show that in a prime nonassociative Novikov algebra every nonzero ideal is non-associative. We pr...
summary:Lattices in the class $\mathcal{IRN}$ of algebraic, distributive lattices whose compact elem...
AbstractIn this paper we study if the Kostrikin radical of a Lie algebra is the intersection of all ...
AbstractIt is shown that the class of all strong radicals containing the prime radical is not a subl...
A radical class R of rings is elementary if it contains precisely those rings whose singly generated...
We refine Amitsur's theory of radicals in complete lattices and apply the obtained results to the th...
We study prime rings which generate supernilpotent (respectively special) atoms, that is, atoms of t...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
In this paper we explore the properties of being hereditary and being strong among the radicals of a...
AbstractA unitary strongly prime ring is defined as a prime ring whose central closure is simple wit...
The base radical class L b(X), generated by a class X was introduced in [12]. It consists of those r...
AbstractWe obtained an explicit description of complemented radicals in the lattice of all radicals....
In this paper we explore the properties of being hereditary and being strong among the radicals of a...
summary:Let $\mathcal D$ be the system of all distributive lattices and let $\mathcal D_0$ be the sy...
summary:There are several special kinds of radical classes. For example, a product radical class is ...
We show that in a prime nonassociative Novikov algebra every nonzero ideal is non-associative. We pr...
summary:Lattices in the class $\mathcal{IRN}$ of algebraic, distributive lattices whose compact elem...
AbstractIn this paper we study if the Kostrikin radical of a Lie algebra is the intersection of all ...
AbstractIt is shown that the class of all strong radicals containing the prime radical is not a subl...
A radical class R of rings is elementary if it contains precisely those rings whose singly generated...
We refine Amitsur's theory of radicals in complete lattices and apply the obtained results to the th...
We study prime rings which generate supernilpotent (respectively special) atoms, that is, atoms of t...
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
In this paper we explore the properties of being hereditary and being strong among the radicals of a...
AbstractA unitary strongly prime ring is defined as a prime ring whose central closure is simple wit...
The base radical class L b(X), generated by a class X was introduced in [12]. It consists of those r...
AbstractWe obtained an explicit description of complemented radicals in the lattice of all radicals....
In this paper we explore the properties of being hereditary and being strong among the radicals of a...
summary:Let $\mathcal D$ be the system of all distributive lattices and let $\mathcal D_0$ be the sy...
summary:There are several special kinds of radical classes. For example, a product radical class is ...
We show that in a prime nonassociative Novikov algebra every nonzero ideal is non-associative. We pr...
summary:Lattices in the class $\mathcal{IRN}$ of algebraic, distributive lattices whose compact elem...
AbstractIn this paper we study if the Kostrikin radical of a Lie algebra is the intersection of all ...
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