Preradical and radical functors in different categories

Author N. Yu. Burban, O. L. Horbachuk

Lviv National University, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

Abstract Usually preradicals in the categories of modules or rings are investigated. This notion for an arbitrary category are generalized.
Keywords preradical; category
Reference 1. Kilp M., Knauer U., Mikhalev A.V. Monoids, acts and categories: with applications to wreath products and graphs; a handbook for students and researchers Berlin; New York: de Gruyter, 2000. 529p.

2. Goldblatt R. Topoi: Categorical analisis of logik. M. Mir, 1983. 486p. (in Russian)

3. Shulgeifer E.H. Functor characteristic of strong radical in categories// Sibir. Math. VII 1966. V.6. P. 14121421. (in Russian)

4. Burban N.Yu. Horbachuk O.L. Radical functors in the category of modules over different rings// Algebra and Discrete Mathematics. 2008. V.3. P. 3039.

5. Lam T.Y. A first course in noncommutative rings. Berlin, Springer, 1991. 412p.

6. Kashu A.I. Radicals and torsions in modules. Kishinev: Stiinca 1983, 152p. (in Russian)

7. Stenstrom B. Rings of quotients. Berlin, Springer, 1975. 309p.

8. Mitchel B. Theory of categories. New York, London, Acad. Press, 1965. 273p.

Pages 121-127
Volume 35
Issue 2
Year 2011
Journal Matematychni Studii
Full text of paper PDF
Table of content of issue HTML