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Volumn 211, Issue 2, 1999, Pages 384-408

Self-duality and Harada rings

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EID: 0033555090     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1998.7593     Document Type: Article
Times cited : (9)

References (30)
  • 2
    • 0002028173 scopus 로고
    • A duality theory for injective modules
    • 2. G. Azumaya, A duality theory for injective modules, Amer. J. Math. 81 (1959), 249-278.
    • (1959) Amer. J. Math. , vol.81 , pp. 249-278
    • Azumaya, G.1
  • 3
    • 0030587966 scopus 로고    scopus 로고
    • On quasi-Harada rings
    • 3. Y. Baba and K. Iwase, On quasi-Harada rings, J. Algebra 185 (1996), 544-570.
    • (1996) J. Algebra , vol.185 , pp. 544-570
    • Baba, Y.1    Iwase, K.2
  • 5
    • 0000546058 scopus 로고
    • Generalized uniserial rings and their Kupisch series
    • 5. K. R. Fuller, Generalized uniserial rings and their Kupisch series, Math. Z. 106 (1968), 248-260.
    • (1968) Math. Z. , vol.106 , pp. 248-260
    • Fuller, K.R.1
  • 6
    • 84972563210 scopus 로고
    • On indecomposable injectives over artinian rings
    • 6. K. R. Fuller, On indecomposable injectives over artinian rings, Pacific J. Math. 29 (1969), 115-135.
    • (1969) Pacific J. Math. , vol.29 , pp. 115-135
    • Fuller, K.R.1
  • 7
    • 0000043556 scopus 로고
    • Self-duality and serial rings
    • 7. J. K. Haack, Self-duality and serial rings, J. Algebra 59 (1979), 345-363.
    • (1979) J. Algebra , vol.59 , pp. 345-363
    • Haack, J.K.1
  • 10
    • 84972562988 scopus 로고
    • Almost QF-rings and almost QF*-rings
    • 10. M. Harada, Almost QF-rings and almost QF*-rings, Osaka J. Math. 30 (1993), 887-892.
    • (1993) Osaka J. Math. , vol.30 , pp. 887-892
    • Harada, M.1
  • 11
    • 84972570925 scopus 로고
    • The maximal quotient ring of a left H-ring
    • 11. J. Kado, The maximal quotient ring of a left H-ring, Osaka J. Math. 27 (1990), 247-251.
    • (1990) Osaka J. Math. , vol.27 , pp. 247-251
    • Kado, J.1
  • 12
    • 84972939291 scopus 로고
    • A characterization of Nakayama rings
    • 12. H. Kupisch, A characterization of Nakayama rings, Comm. Algebra 23 (1995), 739-741.
    • (1995) Comm. Algebra , vol.23 , pp. 739-741
    • Kupisch, H.1
  • 13
    • 0009244178 scopus 로고
    • The invariant systems of serial rings and their applications to the theory of self-duality
    • Tokyo
    • 13. T. Mano, The invariant systems of serial rings and their applications to the theory of self-duality, in Proceedings of the 16th Symposium on Ring Theory, Tokyo, 1983," pp. 48-56.
    • (1983) Proceedings of the 16th Symposium on Ring Theory , pp. 48-56
    • Mano, T.1
  • 14
    • 0002783109 scopus 로고
    • Duality for modules and its applications to the theory of rings with minimal conditions
    • 14. K. Morita, Duality for modules and its applications to the theory of rings with minimal conditions, Sci. Rep. Tokyo Kyoiku Daigaku Sec. A6 (1958), 83-142.
    • (1958) Sci. Rep. Tokyo Kyoiku Daigaku Sec. , vol.A6 , pp. 83-142
    • Morita, K.1
  • 15
    • 0000749557 scopus 로고
    • On Morita duality
    • 15. B. J. Müller, On Morita duality, Canad. J. Math. 21 (1969), 1338-1347.
    • (1969) Canad. J. Math. , vol.21 , pp. 1338-1347
    • Müller, B.J.1
  • 16
    • 0009177327 scopus 로고
    • Unzerlegbaren Moduln über artinschen Ringen
    • 16. W. Müller, Unzerlegbaren Moduln über artinschen Ringen, Math. Z. 137 (1974), 197-226.
    • (1974) Math. Z. , vol.137 , pp. 197-226
    • Müller, W.1
  • 17
    • 0009101431 scopus 로고
    • On the structure of generalized uniserial rings I
    • 17. I. Murase, On the structure of generalized uniserial rings I, Sci. Papers College Ge. Ed. Univ. Tokyo 13 (1963), 1-22.
    • (1963) Sci. Papers College Ge. Ed. Univ. Tokyo , vol.13 , pp. 1-22
    • Murase, I.1
  • 18
    • 0009101431 scopus 로고
    • On the structure of generalized uniserial rings II
    • 18. I. Murase, On the structure of generalized uniserial rings II, Sci. Papers College Ge. Ed. Univ. Tokyo 13 (1963), 131-158.
    • (1963) Sci. Papers College Ge. Ed. Univ. Tokyo , vol.13 , pp. 131-158
    • Murase, I.1
  • 19
    • 0009176314 scopus 로고
    • On the structure of generalized uniserial rings III
    • 19. I. Murase, On the structure of generalized uniserial rings III, Sci. Papers College Ge. Ed. Univ. Tokyo 14 (1964), 14-25.
    • (1964) Sci. Papers College Ge. Ed. Univ. Tokyo , vol.14 , pp. 14-25
    • Murase, I.1
  • 20
    • 0009104152 scopus 로고
    • Note on uniserial and generalized uniserial rings
    • 20. T. Nakayama, Note on uniserial and generalized uniserial rings, Proc. Imperial Acad. Japan 16 (1940), 285-289.
    • (1940) Proc. Imperial Acad. Japan , vol.16 , pp. 285-289
    • Nakayama, T.1
  • 21
    • 0002930423 scopus 로고
    • On frobeniusian algebras II
    • 21. T. Nakayama, On Frobeniusian algebras II, Ann. Math. 42 (1941), 1-21.
    • (1941) Ann. Math. , vol.42 , pp. 1-21
    • Nakayama, T.1
  • 22
    • 84972520427 scopus 로고
    • Lifting modules, extending modules and their applications to QF-rings
    • 22. K. Oshiro, Lifting modules, extending modules and their applications to QF-rings, Hokkaido Math. J. 13 (1984), 310-338.
    • (1984) Hokkaido Math. J. , vol.13 , pp. 310-338
    • Oshiro, K.1
  • 23
    • 84972503475 scopus 로고
    • Lifting modules, extending modules and their applications to generalized uniserial rings
    • 23. K. Oshiro, Lifting modules, extending modules and their applications to generalized uniserial rings, Hokkaido Math. J. 13 (1984), 339-346.
    • (1984) Hokkaido Math. J. , vol.13 , pp. 339-346
    • Oshiro, K.1
  • 24
    • 0000497391 scopus 로고
    • On Harada rings I
    • 24. K. Oshiro, On Harada rings I, Math J. Okayama Univ. 31 (1989), 161-178.
    • (1989) Math J. Okayama Univ. , vol.31 , pp. 161-178
    • Oshiro, K.1
  • 25
    • 0000497391 scopus 로고
    • On Harada rings II
    • 25. K. Oshiro, On Harada rings II, Math. J. Okayama Univ. 31 (1989), 179-188.
    • (1989) Math. J. Okayama Univ. , vol.31 , pp. 179-188
    • Oshiro, K.1
  • 26
    • 0002592482 scopus 로고
    • On Harada rings III
    • 26. K. Oshiro, On Harada rings III, Math. J. Okayama Univ. 32 (1990), 111-118.
    • (1990) Math. J. Okayama Univ. , vol.32 , pp. 111-118
    • Oshiro, K.1
  • 27
    • 0000340081 scopus 로고
    • On H-rings with homogeneous socles
    • 27. K. Oshiro and K. Shigenaga, On H-rings with homogeneous socles, Math. J. Okayama Univ. 31 (1989), 189-196.
    • (1989) Math. J. Okayama Univ. , vol.31 , pp. 189-196
    • Oshiro, K.1    Shigenaga, K.2
  • 28
    • 0009178816 scopus 로고    scopus 로고
    • On almost QF-rings
    • 28. T. Sumioka and S. Tozaki, On almost QF-rings, Osaka J. Math. 33 (1996), 649-661.
    • (1996) Osaka J. Math. , vol.33 , pp. 649-661
    • Sumioka, T.1    Tozaki, S.2
  • 29
    • 0009244455 scopus 로고
    • Self-duality of serial rings
    • 29. J. Waschbüsch, Self-duality of serial rings, Comm. Algebra 14 (1986), 581-589.
    • (1986) Comm. Algebra , vol.14 , pp. 581-589
    • Waschbüsch, J.1
  • 30
    • 0001408161 scopus 로고    scopus 로고
    • Frobenius algebra
    • Elsevier, Amsterdam/New York
    • 30. K. Yamagata, Frobenius algebra, in "Handbook of Algebra," Vol. 1, Elsevier, Amsterdam/New York, 1996.
    • (1996) Handbook of Algebra , vol.1
    • Yamagata, K.1


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