본문 바로가기
KERD
논문KCI 등재

On the flatness and injectivity of dual modules (III)

Zhaoyong Huang
대한수학회 (The Korean Mathematical Society)|2006.11|대한수학회보 (Bulletin of the KMS)|제43권 제4호|pp. 755-762

2

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

For a commutative ringR and an injective cogeneratorE in the category ofR-modules, we characterize von Neumann reg-ular rings and semisimple artinian rings in terms of the propertiesof dual modules with respect toE.

참고문헌 (10)

  1. "Relative Finiteness in Module Theory A series of monographs and textbooks" (1984), Inc.
  2. "Rings and Categories of modules Graduate Texts in Mathematics 13" (1992), Springer-Verlag
  3. "Some characterizations of uniserial rings", 186, pp.163~170 (1970)
  4. "Characterization of rings using quasiprojective modules", 8, pp.34~38762haoyonguang (1970)
  5. "Characterization of rings using quasiprojective modules II", 28, pp.337~343 (1971)
  6. "A note on a theorem of Hill", 29, pp.279~284 (1969)
  7. "On the atness and injectivity of dual modules", 21(3), pp.257~262 (1997)
  8. "On the atness and injectivity of dual modules(I )", 21(3), pp.377~383 (2001)
  9. "An Introduction to Homological Algebra" (1979), AcademicPress
  10. "Rings of Quotients Die Grundlehren der Mathematischen Wis-senschaften in Einzeldarstellungen 217" (1975), Springer-Verlag

관련 논문AI추천

On injectivity and $P$-injectivity, IVRoger Yue Chi Ming대한수학회 · 대한수학회보2003 · 제40권 제2호Some remarks on cotorsion envelopes of modules김해식, 송영무대한수학회 · 대한수학회보2007 · 제44권 제4호A Note on Semi-Projective ModulesH. Tansee, S. Wongwal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제2호Injective covers over commutative Noetherian rings ofglobal dimension at most two IIHae-Sik Kim, Yeong-Moo Song대한수학회 · 대한수학회논문집2005 · 제20권 제3호On reflexive modules over commutative ringsNanqing Ding, Yuxian Geng대한수학회 · 대한수학회보2015 · 제52권 제1호Injective covers over commutative Noetherian rings with global dimension at most two김해식, 송영무, Edgar E. Enochs대한수학회 · 대한수학회보2003 · 제40권 제1호

이 간행물의 다른 논문 (19건)

On the range closure of an elementary operatorBhagwati Prasad Duggal, Slavisa V. Djordjevi\'c, Jose Angel Canavatipp. 671-677The critical point equation on a four dimensional warped product manifold장정욱, 황승수pp. 679-692Multiplicity results for a class of second order superlinear difference systemsGuoqing Zhang, Sanyang Liupp. 693-701Jensen Type Quadratic-Quadratic Mapping in Banach Spaces박춘길, 김명중, 홍성기pp. 703-709Strong commutativity preserving mappings on semiprime ringsMuhammad Yasen, Matloob Anwar, Asif Alipp. 711-713
원문 보기