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On exchange ideals

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Abstract

In this paper, we investigate exchange ideals and get some newcharacterization of exchange rings. It is shown that an ideal Iof a ring R is an exchange ideal if and only if so is QM_2(I).Also we observe that every exchange ideal can be characterized by

참고문헌 (8)

  1. "Separative cancellation for projective modules over exchangerings", 105, pp.105~137 (1998)
  2. P. Ara,G.K. Pedersen,and F. Perera, "An infinite analogueof rings with stable range one", 230, pp.608~655 (2000)
  3. "Exchange rings with artinian primitive factors", 1999, pp.2, 201~207
  4. "idempotents and stable range conditions", 2001, pp.29, 703~717
  5. "Exchange rings with stable range conditions in recent research on pure and applied algebra", 2003, 47~[DOI]
  6. "Lifting idempotents and exchange rings", 1977, pp.229, 269~
  7. "Comparability, separativity, and exchangerings", 24, pp.2915~2929 (1996)
  8. "Lifting units modulo exchange ideals andC^*-algebras with real rank zero", 2000, pp.522, 51~62

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