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ON ARMENDARIZ IDEALS

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In this paper, we introduce the concepts of Armendariz ideals and abelian ideals and record some results involving them.

Abstract

In this paper, we introduce the concepts of Armendariz ideals and abelian ideals and record some results involving them.

참고문헌 (8)

  1. D. D. Anderson, "Armendariz rings and Gaussian rings", Comm. Algebra, 26(7), pp.2265~2272 (1998)
  2. E. P. Armendariz, "A note on extensions of Baer and P.P.-rings", J. Aust. Math. Soc., 18, pp.470~473 (1974)
  3. H. E. Bell, "Near-rings in which each element is a power of itself", Bull. Aust. Math. Soc., 2, pp.363~368 (1970)
  4. C. Huh, "Armendariz rings and semicommutative rings", Comm. Algebra, 30(2), pp.751~761 (2002)
  5. N. K. Kim, "Armendariz rings and reduced rings", J. Algebra, 223(2), pp.477~488 (2000)
  6. T. K. Lee, "On Armendariz rings", Houston J. Math., 29(3), pp.583~593 (2003)
  7. M. B. Rege, "Armendariz rings", Proc. Japan Acad. Ser. A Math. Sci., 73(1), pp.14~17 (1997)
  8. 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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