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On a generalization of $Q I$ -rings

Josef Jirásko (1999)

Commentationes Mathematicae Universitatis Carolinae

In this paper rings for which every $s$ -torsion quasi-injective module is weakly $s$ -divisible for a hereditary preradical $s$ are characterized in terms of the properties of the corresponding lattice of the (hereditary) preradicals. In case of a stable torsion theory these rings coincide with $T Q I$ -rings investigated by J. Ahsan and E. Enochs in [1]. Our aim was to generalize some results concerning $Q I$ -rings obtained by J.S. Golan and S.R. L’opez-Permouth in [12]. A characterization of the $Q I$ -property in the...

On a problem of Bertram Yood

Mart Abel, Mati Abel (2014)

Topological Algebra and its Applications

In 1964, Bertram Yood posed the following problem: whether the intersection of all closed maximal regular left ideals of a topological ring coincides with the intersection of all closed maximal regular right ideals of this ring. It is proved that these two intersections coincide for advertive and simplicial topological rings and, using this result, it is shown that the topological left radical and the topological right radical for every advertive and simplicial topological algebra coincide.

The Uniformly strongly prime k-radical of a Γ-semiring is a special class which we study via its operator semiring.

On unital extensions of near-rings and their radicals.

Veldsman, Stefan (1992)

Mathematica Pannonica

Displaying 1 – 9 of 9

On a generalization of $Q I$ -rings

On a problem of Bertram Yood

On $A$ -radicals

On radical rings

On the radical theory of involution algebras

On the radical theory of semirings.

On the Radicals of Structural Matrix Rings.

On uniformly strongly prime Γ-semirings (II)

On unital extensions of near-rings and their radicals.

Currently displaying 1 – 9 of 9