When do the transpose and dual agree?

Linear Algebra and Its Applications - Tập 56 - Trang 63-72 - 1984
Joel K. Haack1
1Oklahoma State University, Stillwater, Oklahoma 74078 USA

Tài liệu tham khảo

Anderson, 1974 Auslander, 1969, Stable Module Theory, Memoirs of the Amer. Math. Soc. No. 94, 10.1090/memo/0094 Auslander, 1977, Representation theory of artin algebra, IV, Comm. Algebra, 5, 443, 10.1080/00927877708822180 Azumaya, 1959, A duality theory for injective modules, Amer. J. Math., 81, 249, 10.2307/2372855 Cohn, 1961, On the embedding of rings in skew fields, Proc. London Math. Soc., 11, 511, 10.1112/plms/s3-11.1.511 Faith, 1976 Fuller, 1968, Generalized uniserial rings and their Kupisch series, Math. Z., 106, 248, 10.1007/BF01110273 Haack, 1979, Self-duality and serial rings, J. Algebra, 59, 345, 10.1016/0021-8693(79)90132-7 Kupisch, 1959, Beiträge zur Theorie nichthalbeinfacher Ringe mit Minimalbedingung, Crelle's J., 20, 100, 10.1515/crll.1959.201.100 Morita, 1958, Duality for modules and its application to the theory of rings with minimum condition, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A, 6, 83 Murase, 1963, On the structure of generalized uniserial rings, I, Sci. Papers College Gen. Ed. Univ. Tokyo, 13, 1 Nakayama, 1940, Note on uniserial and generalized uniserial rings, Proc. Imp. Acad. Japan, 16, 285, 10.3792/pia/1195579089 Rosenburg, 1959, On the finiteness of the injective hull, Math. Z., 70, 372, 10.1007/BF01558598 Warfield, 1975, Serial rings and finitely presented modules, J. Algebra, 37, 187, 10.1016/0021-8693(75)90074-5