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A Note on -Separative Modules

Huanyin Chen
경북대학교 자연과학대학 수학과|2007.09|Kyungpook Mathematical Journal|제47권 제3호|pp. 357-361

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Abstract

A right R-module P is c-separative provided that P P c= P Q =) P = Q for any right R-module Q. We get, in this paper, two sufficient conditions under which a right module is c-separative. A ring R is a hereditary ring provided that every ideal of R is projective. As an application, we prove that every projective right R-module over a hereditary ring is c-separative.

참고문헌 (9)

  1. "Separative cancellation for projective modules over exchange rings", 105 (1998)
  2. "Cancellation of projective modules over regular rings with comparability", 107, pp.19~38 (1996)
  3. "Lecture Notes in Math" (1982), Springer-Verlag
  4. "Exchange rings over which every regular matrix admits diagonal reduction", 3, pp.207~217 (2004)
  5. "Self-cancellation of modules having the finite exchange property", 268, pp.111~118 (2005)
  6. "A crash course on stable range, cancellation, substitution and exchange", 3, pp.301~343 (2004)
  7. "Separative cancelltion and multiple isomorphism in torsion-free abelian groups", 221, pp.536~550 (1999)
  8. "Rings Close to Regular" (2002), Kluwer Academic Publishers, Dordrecht
  9. "Weakly stable modules", 34, pp.983~989 (2006)

관련 논문AI추천

A Note on Semi-Projective ModulesH. Tansee, S. Wongwal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제2호On Semicommutative Modules and RingsAbdullah Harmanci, Nazim Agayev경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호A Note on Central Separable Cancellative SemialgebrasK. B. Patil, R. P. Deore경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호On Lifting Modules and Weak Lifting ModulesDerya Keskin Tutuncu, Rachid Tribak경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제3호Pointwise Projective Modules and Some Related ModulesGhasan Naoum-Adil, Zaki Jamil-Zeana경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제4호A Note on Types of Noetherian Local RingsKisuk Lee대한수학회 · 대한수학회보2002 · 제39권 제4호

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