-groups with acc on annihilators and some topological properties.
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Non-transitive generalizations of subdirect products of linearly ordered rings
Jiří Rachůnek, Dana Šalounová (2003)
Czechoslovak Mathematical Journal
Weakly associative lattice rings (wal-rings) are non-transitive generalizations of lattice ordered rings (l-rings). As is known, the class of l-rings which are subdirect products of linearly ordered rings (i.e. the class of f-rings) plays an important role in the theory of l-rings. In the paper, the classes of wal-rings representable as subdirect products of to-rings and ao-rings (both being non-transitive generalizations of the class of f-rings) are characterized and the class of wal-rings having...
Normability of an S-ring.
El-Miloudi Marhrani, Mohamed Aamri (1998)
Collectanea Mathematica
We give some criteria of normability of an S-ring, and we study the properties of its norms.
Notes on slender prime rings
Robert El Bashir, Tomáš Kepka (1996)
Commentationes Mathematicae Universitatis Carolinae
If is a prime ring such that is not completely reducible and the additive group is not complete, then is slender.
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