PSEUDO SYMMETRY OF M(R) AND N(R)

  • JUNG, EUN-SUK (Dept. of Mathematics, Graduate School Chonnam National University)
  • Received : 2001.02.26
  • Published : 2001.07.30

Abstract

Reduced Von Neumann Regular ring is pseudo symmetric and N(R) is reduced. Thus N(R) is pseudo symmetric and M(R) is reduced if and only if M(R) = N(R).

Keywords

References

  1. Proc. of the Amer. Math. Soc. v.1 The maximal regular ideal of a ring Brown, B.;McCoy, N.H.
  2. Nagoya Math. J. v.4 Strong Regularity in Arbitrary Rings Kando, Tetsuo
  3. Korean Annales of Mathematics v.17 Reflexivity, Symmetry, Pseudo symmetry on Von Neumann Regular Ring Jung, Eun-Suk
  4. Trans. Amer. Math. Soc. v.184 Prime ideals and sheaf representation of a pseudo symmetric ring Shin, Goo-Yong
  5. Trans. Amer. Math. Soc. v.63 Topological representation of algebra Arens, R.F.;Kaplansky, I.
  6. Von Neumann Regular Rings Goodearl, K.R.
  7. Canad. Math. Bull. v.17 Some remarks on regular and strongly regular rings Raphael, R.