Injective hulls with distinct ring structures

Journal of Pure and Applied Algebra

Volumn 213, Issue 5, 2009, Pages 732-736

  Birkenmeier, Gary F ^a   Osofsky, Barbara L ^b   Park, Jae Keol ^c   Rizvi, S Tariq ^d  

^a UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

^b RUTGERS UNIVERSITY   (United States)

^c Pusan National University   (South Korea)

^d OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58849150715     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jpaa.2008.09.014     Document Type: Article

References (12)

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3. Anderson F.W., and Fuller K.R. Rings and Categories of Modules. second ed. Graduate Texts in Math. vol. 13 (1992), Springer-Verlag, New York
4. B.L. Osofsky, Homological Properties of Rings and Modules, Doctoral Dissertation, Rutgers University, 1964
5. Osofsky B.L. A non-trivial ring with non-rational injective hull. Canad. Math. Bull. 10 (1967) 275-282
6. Osofsky B.L. On ring properties of injective hulls. Canad. Math. Bull. 7 (1964) 405-413
7. Lang N.C. On ring properties of injective hulls. Canad. Math. Bull. 18 (1975) 233-239
8. Morita K. Duality for modules and its applications to the theory of rings with minimum condition. Sci. Rep. Tokyo Kyoiku Daigaku Sec. A 6 (1958) 83-142
9. Halmos P.R. Finite-dimensional Vector Spaces. Undergraduate Texts in Math. second ed. (1974), Springer-Verlag, New York
10. Birkenmeier G.F., Park J.K., and Rizvi S.T. An essential extension with nonisomorphic ring structures. Contemp. Math. vol. 419 (2006), Amer. Math. Soc., Providence, PI 29-48
11. Birkenmeier G.F., Park J.K., and Rizvi S.T. An essential extension with nonisomorphic ring structures II. Comm. Algebra 35 (2007) 3986-4004
12. G.F. Birkenmeier, J.K. Park, S.T. Rizvi, An example of Osofsky and essential overrings, Contemp. Math., Amer. Math. Soc., Providence, RI (in press)