본문 바로가기
KERD
논문KCI 등재

Semi-divisoriality of Hom-modules and injective cogenerator of a quotient category

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we study w-nullity and (co-)semi-divisoriality of Hom-modules and the semi-divisorial envelope of Hom_R(M, N) under suitable conditions on R, M, and N. We also investigate an injective cogenerator of a quotient category.

Abstract

In this paper, we study w-nullity and (co-)semi-divisoriality of Hom-modules and the semi-divisorial envelope of Hom_R(M, N) under suitable conditions on R, M, and N. We also investigate an injective cogenerator of a quotient category.

참고문헌 (17)

  1. I. Beck, "Injective modules over a Krull domain", J. Algebra, 17, pp.116~131 (1971)
  2. L. Fuchs, "Modules over Non-Noetherian Domains", Mathematical Surveys and Monographs, 84 (2001), AMS
  3. R. Gilmer, "Multiplicative Ideal Theory", Queen's Papers in Pure and Applied Mathematics, 90 (1992), Queen's University
  4. S. Glaz, "Flat ideals II", Manuscripta Math, 22(4), pp.325~341 (1977)
  5. S. Glaz, "Flat ideals III", Comm. Algebra, 12(1), pp.199~227 (1984)
  6. J. S. Golan, "Localizations of Noncommutative Rings" (1975), Marcel Dekker
  7. H. Kim, "Module-theoretic characterizations of t-linkative domains", Comm. Algebra, 36(5), pp.1649~1670 (2008)
  8. H. Kim, "Module-theoretic characterizations of generalized GCD domains", Comm. Algebra, 38(2), pp.759~772 (2010)
  9. H. Kim, "Injective modules over strong Mori domains", Houston J. Math, 34(2), pp.349~360 (2008)
  10. Local Cohomology and Localization, "J. L. B. Montero", Longman Scientific & Technical, ~, pp.Pitman Research Notes in Mathematics Series, 226 (1989)
  11. M. Moucouf, "Some results on injective modules over a ring of Krull type", Comm. Algebra, 33(11), pp.4125~4133 (2005)
  12. M. Nishi, "Codivisorial and divisorial modules over completely inte- grally closed domains. I", Hiroshima Math. J, 5(2), pp.269~292 (1975)
  13. M. Nishi, "Codivisorial and divisorial modules over completely integrally closed domains. II", Hiroshima Math, 3통권 : 461, pp.471~ (1975)
  14. B. Stenstr, "Rings of Quotients: An Introduction to Methods of Ring Theory" (1973), Springer-Verlag
  15. R. G. Swan, "Algebraic K-theory", Lecture notes in Math, 76 (1968), Springer-Verlarg
  16. F. Wang, "On w-projective modules and w-flat modules", Algebra Colloq, 4(1), pp.111~120 (1997)
  17. F. Wang, "McCasland, On w-modules over strong Mori domains", Comm. Algebra, 25(4), pp.1285~1306 (1997)

관련 논문AI추천

이 간행물의 다른 논문 (16건)