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Note on some ideals of associative rings
It is well known that being an ideal (left ideal, right ideal) of a ring is not a transitive relation. Nevertheless in some cases the transitive property does hold. Systematic studies of this subject were star...
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Article
Open AccessA note on zero-divisors of commutative rings
In this paper we show that if a ring R has finite Goldie dimension, then every finitely generated ideal of R consisting of zero-divisors has non-zero annihilator. We also construct an example of a ring of infinit...
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Article
On radicals of rings which are sums of two subrings