Splittingness of coatoms of the lattice of $I$-radical over perfect rings |
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| Author |
Faculty of Mechanics and Mathematics,Lviv National University, Institute of Physics, Mathematics and Computer Science,Drohobych State Pedagogical University
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| Abstract |
We find conditions under which the coatoms of the lattice of $I$-radicals over a perfect ring split.
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| Keywords |
coatom, lattice, I-radical, perfect ring split
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| DOI |
doi:10.30970/ms.27.2.208-210
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Reference |
1. Кашу А.И. Радикалы и кручения в модулях.-- Кишинев: Штиинца, 1983.
2. Bican L., Kepka T., Nemec P. Rings, modules, and preradicals.-- Lect. Notes Appl. Math. 75, New York, Marcell Dekker, 1982. 3. Anderson F.W. Fuller K.R. Rings and categories of modules.-- Springer-Verlag, New York, 1973. 4. Горбачук Е.Л., Комарницкий Н.Я. $I$-радикалы и их свойства, Укр. мат. журн., Т.30, № 2 (1978), 212--217. 5. Horbachuk O., Maturin Yu. Rings and properties of lattices of $I$-radicals, Bull. Moldavian Academy of Sci. Math., V. 38, № 2 (2002), 44--52. 6. Horbachuk O., Maturin Yu. Splitting preradicals and perfect rings, Matematychni Studii, Vol.23 (2005), no.2, 217--220. 7. Ламбек И. Кольца и модули.-- Москва: Мир, 1971. |
| Pages |
208-210
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| Volume |
27
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| Issue |
2
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| Year |
2007
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| Journal |
Matematychni Studii
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| Full text of paper | |
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