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Interior operators and T1 topological spaces
A general notion of T1-separation with respect to an arbitrary interior operator is introduced in the category Top of topological spaces. This is done by means of the concept of categorical interior operator. This naturally ...
Closure operators, torsion theories, and radicals in a non-abelian environment
In the category of abelian groups, there exists a relationship between torsion theories and idempotent radicals where we can use one to find the other. In the process we can learn of different properties that apply to the ...
Torsion theories, radicals and closure operators in the category of rings
In 1971, Joachim Lambek published a result which gives an equivalence between torsion theo- ries (B,C) and idempotent radicals T in the category Mod R, establishing some properties of the classes of R-modules B and C and ...