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On rings with a distributive lattice of pretorsions. (Russian)
Authors: Bunu I. D.
Abstract
The question about distributivity of pretorsion lattice in modules is studied. It is proved that if a ring is left distributive, satisfies the maximality condition for left and right quotients and any its left ideal is the intersection of a finite number of irreducible left ideals, then the pretorsion lattice is distributive.A.S.E.M.
str. Banulescu Bodoni, 61
MD-2005 Chisinau, Moldova
str. Banulescu Bodoni, 61
MD-2005 Chisinau, Moldova
Contents
- To the 35th anniversary of the Institute of Mathematics and Computer Science of the Academy of Sciences of the Republic of Moldova.
- On coverings in the lattice of linear topologies. (English)
- Radical assignments and radical classes. (English)
- On rings with a distributive lattice of pretorsions. (Russian)
- On product-closed radical classes of abelian groups. (English)
- Some remarks concerning nuclei on semiring. (English)
- The classes of divisible and reduced modules associated to the torsion theories. (English)
- Zero divisors in group-based algebras. Algebras without zero divisors. (English)
- Category of representations of elementary knowledge. (English)
- On endomorphism rimgs without nonzero nilpotent elements. II. (English)
- On the intersection of radical classes. (English)
- Vladimir Ivanovich Arnautov. A tribute in honor of his 60th birthday.
