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On Lifting Modules and Weak Lifting Modules

Rachid Tribak|Derya Keskin Tutuncu
경북대학교 자연과학대학 수학과|2005.09|Kyungpook Mathematical Journal|제45권 제3호|pp. 445-453

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참고문헌

주제분류수학

초록

Abstract

We say that a module M is weak lifting if M is supplemented and every supplement submodule of M is a direct summand. The module M is called lifting, if it is weak lifting and amply supplemented. This paper investigates the structure of weak lifting modules and lifting modules having small radical over commutative noetherian rings.

참고문헌 (13)

  1. "Rings and Categories of Modules" (1974), Springer-Verlag
  2. "Pacic J. Math.", 53 2, pp.379~385 (1974)
  3. "A dual notion of CS-modules generalization", 208, pp.149~155 (2000)
  4. "Sum of hollow modules", 20, pp.331~336 (1983)
  5. "Finite Direct Sums of(D1)-Modules", 22, pp.85~91 (1998)
  6. "On the Structure of Couniform and Complemented Modules", 74, pp.281~305 (1991)
  7. "Comm. Algebra", 7 6, pp.565~610 (1979)
  8. "A Krull-Schmidt theorem for innite sums of modules", 22, pp.460~465 (1969)
  9. "Komplementierte Moduln ¨uber Dedekindringen", 29, pp.42~56 (1974)
  10. "Komplemente als direkte Summanden", basel, pp.241~253 (1974)
  11. "Koatomare Moduln", 170, pp.221~232 (1980)
  12. "Gelfandringe und koabgeschlossene Untermoduln", 3, pp.43~70 (1982)
  13. "Komplemente als direkte Summanden II", pp.324~334 (1982)

관련 논문AI추천

On Direct Sums of Lifting Modules and Internal Exchange PropertyWu Dejun경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제1호Pointwise Projective Modules and Some Related ModulesGhasan Naoum-Adil, Zaki Jamil-Zeana경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제4호Modules Which Are Lifting Relative To Module ClassesAbdullah Harmanci, Muhammet Tamer Kosan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호A Note on Semi-Projective ModulesH. Tansee, S. Wongwal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제2호A Note on -Separative ModulesHuanyin Chen경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제3호On Semicommutative Modules and RingsAbdullah Harmanci, Nazim Agayev경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호

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