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Original Articles

Multiplicative Sets of Primitive Idempotents and Primitive Ideals

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Pages 87-94 | Received 20 Sep 2013, Published online: 19 Oct 2015

REFERENCES

  • Blair , W. D. and Tsutsui , H. ( 1994 ). Fully prime rings . Comm. Algebra 22 ( 13 ): 5389 – 5400 .
  • Dolzan , D. ( 2006 ). Multiplicative sets of idempotents in a finite ring . J. Algebra 304 ( 1 ): 271 – 277 .
  • Drazin , M. P. ( 1958 ). Rings with central idempotent or nilpotent elements . Proc. Edinb. Math. Soc. 9 ( 4 ): 157 – 165 .
  • Domanov , O. I. ( 1977 ). A prime but not primitive regular ring . Uspehi Mat. Nauk 32 ( 6 ): 219 – 220 .
  • Goodearl , K. R. and Warfield Jr. , R. B. ( 1989 ). An Introduction to Noncommutative Rings . Cambridge : Cambridge University Press .
  • Grover , H. K. , Khurana , D. and Singh , S. ( 2009 ). Rings with multiplicative sets of primitive idempotents . Communications in Algebra 37 : 2583 – 2590 .
  • Kaplansky , I. ( 1970 ). Algebraic and analytic aspects of operator algebras. Conference Board of the Mathematical Sciences, Regional Conference Series in Mathematics, Number 1. American Mathematical Society, Providence, RI .
  • Lam , T. Y. ( 2001 ). A first Course in Noncommutative Rings . New York : Springer-Verlag .
  • Lanski , L. , Resco , R. , Small , L. ( 1979 ). On the primitivity of prime rings . J. Algebra 59 : 395 – 398 .
  • Muller , B. ( 1970 ). On semi-perfect rings . Illinois J. Math. 14 ( 3 ): 464 – 467 .
  • Park , S. and Han , J. ( 2011 ). Multiplicative set of idempotents in a semiperfect ring . Bull. Korean Math. Soc. 48 ( 5 ): 1033 – 1039 .
  • Rowen , L. ( 1988 ). Ring Theory Volume I, II , San Diego : Academic Press .
  • Tsutsui , H. ( 1996 ). Fully prime rings II . Comm. Algebra 24 ( 9 ): 2981 – 2989 .
  • Communicated by T. Albu.

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