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On semi-IFP rings

윤상조|성효진
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2015.03|한국수학논문집 (Korean Journal of Mathematics)|제23권 제1호|pp. 37-46|DOI http://dx.doi.org/10.11568/kjm.2015.23.1.37

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키워드

semiprime ringIFP ringreduced ringpolynomial ringsemi-IFP ring
주제분류수학

초록

We in this note introduce the concept of semi-IFP rings which is a generalization of IFP rings. We study the basic structure of semi-IFP rings, and construct suitable examples to the situations raised naturally in the process. We also show that the semi-IFP does not go up to polynomial rings.

Abstract

We in this note introduce the concept of semi-IFP rings which is a generalization of IFP rings. We study the basic structure of semi-IFP rings, and construct suitable examples to the situations raised naturally in the process. We also show that the semi-IFP does not go up to polynomial rings.

참고문헌 (13)

  1. E.P. Armendariz, "A note on extensions of Baer and P.P.-rings", J. Austral. Math. Soc, 18, pp.470~473 (1974)
  2. H.E. Bell, "Near-rings in which each element is a power of itself", Bull. Austral. Math. Soc, 2, pp.363~368 (1970)
  3. G.F. Birkenmeier, "Completely prime ideals and asso-ciated radicals", Proc. Biennial Ohio State-Denison Conference 1992, pp.102~129 (1993)
  4. Y.U. Cho, "Classical quotient rings and ordinary extensions of 2-primal rings", Algebra Colloq, 13, pp.513~523 (2006)
  5. K.R. Goodearl, "Von Neumann Regular Rings" (1979), Pitman
  6. K.R. Goodearl, "An Introduction to Noncommutative Noe-therian Rings" (1989), Cambridge University Press
  7. J.M. Habeb, "A note on zero commutative and duo rings", Math. J. Okayama Univ, 32, pp.73~76 (1990)
  8. C. Huh, "Questions on 2-primal rings", Comm. Algebra, 26, pp.595~600 (1998)
  9. C. Huh, "Armendariz rings and semicommutative ring", Comm. Algebra, 30, pp.751~761 (2002)
  10. 함경연, "IFP rings and near-IFP rings", 대한수학회지, 45(3), pp.727~740 (2008), 대한수학회
  11. N.K. Kim, "Armendariz rings and reduced rings", J. Algebra, 223, pp.477~488 (2000)
  12. L. Motais de Narbonne, "Anneaux semi-commutatifs et unis riels anneaux dont les id aux principaux sont idempotents", Proceedings of the 106th National Congress of Learned Societies, pp.71~73 (1982)
  13. G. Shin, "Prime ideals and sheaf representation of a pseudo symmetric ring", Trans. Amer. Math. Soc, 184, pp.43~60 (1973)

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