Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지

MODULES OF QUOTIENTS OVER COMMUTATIVE RINGS

  • Lee, Jae-Gook (Department of Mathematics Graduate School and Teachers College Kyungpook National University) ;
  • Rij, Seog-Hoon (Department of Mathematics Graduate School and Teachers College Kyungpook National University)
  • Published : 1999.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we give an affirmative answer to the question raised in [5]; whether L((P)) is principal or not. Using this fact, we try to give concrete form of module of quotient with respect to a torsion theory determined by L((P)).

Keywords

References

  1. Rocky Mountain J. Math. v.22 Prime ideals and Finiteness conditions for Gabriel Topologies over Commutative Rings M. Beattie;M. Orzech
  2. Torsion Theories, Pitman Monographs and Surveys in Pure and Applied Mathematics v.29 J. Golan
  3. J. Algebra v.13 Rings and Modules of Quotients O. Goldman
  4. Comm. Korean Math. Soc. v.4 Torsion theory and Local Cohomology J. Han;H. Lee
  5. Comm. Korean Math. Soc. v.9 Modules of Quotients over Commutative Rings H. Lee
  6. An Introduction To Homological Algebra J. Rotman
  7. Lecture Notes in Mathematics v.237 Rings and Modules of Quotients B. Stenstrom
  8. Rings of Quotients
  9. Monographs in pure and applied Mathematics v.79 Relative Invariants of Rings F. Van Oystaeyan;A. Verschoren
  10. Commutative Rings I. Kaplansky