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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 4

ON ONE SIDED STRONGLY PRIME IDEALS

Feride KUZUCUOĞLU
Sayfa
577–582
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also give various conditions on a noncommutative ring R so that R is 2-primal.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The notion of strongly prime right ideal is analogous to that of completely prime ideal in a commutative ring.
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Temel Bulgular & Veri:We prove that the intersection of all strongly prime right ideals of a ring R coincides with the Levitzki radical of this ring.
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Sonuç & Katkı:We also give various conditions on a noncommutative ring R so that R is 2-primal.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Prime right ideal · Strongly prime right ideal · 2-primal ring

Abstract

The notion of strongly prime right ideal is analogous to that of completely prime ideal in a commutative ring. We prove that the intersection of all strongly prime right ideals of a ring R coincides with the Levitzki radical of this ring. We also give various conditions on a noncommutative ring R so that R is 2-primal.

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Bu Makaleye Atıf Yap

KUZUCUOĞLU, F. (2022). ON ONE SIDED STRONGLY PRIME IDEALS. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 4, 577–582. https://ajindex.com/articles/530666

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Kaynakça (12)

  1. Chiba, K. and Tominaga, H. On strongly regular rings, Proc. Japan Acad. 49, 435–437, 1973.
  2. Divinsky, N. J. Rings and radicals (University of Toronto Press, 1965).
  3. Kaya, A. One sided ideals of a strongly prime type (Proc. I. National Mathematics Sympo- sium, Ankara, 31 Aug.-2 Sept, 1988), 95–96.
  4. Kaya, A. and Kuzucuoglu, F. On strongly regular rings, Turkish J. Math. 20, 395–398, 1996.
  5. Kim, N. K. and Lee, Y. On right quasi-duo rings which are π-regular, Bull. Korean Math. Soc. 37, 217–227, 2000.
  6. Koh, K. On one sided ideals of a prime type, Proc. Amer. Math. Soc. 28, 321–329, 1971.
  7. Koh, K. Quasisimple modules and other topics in ring theory. Lectures on rings and modules (Lecture Notes in Math. 246, Springer-Verlag, Berlin, 1972).
  8. Mogami, I. and Hongan, M. Note on commutativity of rings, Math. J. Okayama Univ. 20, 21–24, 1978.
  9. Rosenberg, A. L. The left spectrum, the Levitzki radicals, noncommutative schemes, Proc. Natl. Acad. Sci. USA 87, 8583–8586, 1990.
  10. Tominaga, H. On s-unital rings, Math. J. Okayama Univ. 18, 117–133, 1976.
  11. Tominaga, H. On s-unital rings II, Math. J. Okayama Univ. 19, 171–182, 1977.
  12. Wong, E. T. Almost commutative rings and their integral extensions, Math. J. Okayama Univ. 18 (2), 105–111, 1976.