Radical filters of noetherian rings and some examples |
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| Author |
yurm2007@yandex.ru
Institute of Physics, Mathematics,and Computer Science,Drohobych State Pedagogical University,3 Stryjska Str., Drohobych, Lviv region, Ukraine 82100
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| Abstract |
Radical filters of noetherian rings are considered.
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| Keywords |
radical filter, noetherian ring, ideal domain, Dedekind domain
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| DOI |
doi:10.30970/ms.32.2.205-209
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Reference |
1. Mishina A.P., Skornjakov L.A. Abelian groups and modules. Providence, Rhode Island: Amer. Math. Soc, 1976.
2. Kashu A.I. Radicals and torsions in modules. Kishinev, Stiintsa, 1983. (in Russian) 3. Jacobson N. The theory of rings, Surveys of the Amer. Math. Soc. vol. 2, Providence, 1942. 4. Kasch F. Moduln and ringe. Stuttgart, B.G. Teubner, 1977. 5. Horbachuk O., Komarnytskyi M. Radical filters in principal ideal domains, Doklady Akademii Nauk USSR, Fiz.-Mat. і Tehk. Nauki, 2 (1977), 103--104. (in Russian) 6. Dummit D.S., Foot R.M. Abstract algebra. Prentice Hall, Upper Saddle River, N.J. 07458, 1999. 7. Stenstrom B. Rings and modules of quotients. Berlin, Springer-Verlag, 1975. 8. Anderson F.W., Fuller K.R. Rings and categories of modules. New York, Springer, 1973. |
| Pages |
205-209
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| Volume |
32
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| Issue |
2
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| Year |
2009
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| Journal |
Matematychni Studii
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