A characterization of goldie extending modules over dedekind domains

Journal of Algebra and its Applications

Volumn 10, Issue 6, 2011, Pages 1291-1299

  Akalan, Evrim ^a   Birkenmeier, Gary F ^b   Tercan, Adnan ^a  

^a HACETTEPE UNIVERSITY   (Turkey)

^b UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

Author keywords

Dedekind domain; G extending module; pure submodule

Indexed keywords

EID: 84555209336     PISSN: 02194988     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219498811005178     Document Type: Article

References (14)

1. E. Akalan, G. F. Birkenmeier and A. Tercan, Goldie extending modules, Commun. Algebra 37 (2009) 663-683.
2. E. Akalan, G. F. Birkenmeier and A. Tercan, Characterizations of extending and G-extending generalized triangular matrix rings, to appear in Commun. Algebra.
3. F. W. Anderson and K. R. Fuller, Rings and Categories of Modules (Springer-Verlag, New York, 1974).
4. P. M. Cohn, On the free product of associative rings, Math. Z. 71 (1959) 380-398.
5. N. V. Dung, D. V. Huynh, P. F. Smith and R. Wisbauer, Extending Modules (Pitman Research Notes in Mathematics Series, Vol. 313 (Longman, Harlow, 1994).
6. M. A. Kamal and B. J. M̈uller, Extending modules over commutative domains, Osaka J. Math. 25 (1988) 531-538.
7. M. A. Kamal and B. J. M̈uller, The structure of extending modules over Noetherian rings, Osaka J. Math. 25 (1988) 539-551.
8. I. Kaplansky, Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc. 72 (1952) 327-340.
9. H. Marubayashi, Modules over Dedekind prime rings II, Osaka J. Math. 11 (1974) 517-545.
10. S. H. Mohamed and B. J. M̈uller, Continuous and Discrete Modules (Cambridge University Press, Cambridge, 1990).
11. B. J. M̈uller and S. T. Rizvi, On injective and quasi-continuous modules, J. Pure Appl. Algebra 28 (1983) 197-212.
12. P. Ribenboim, Algebraic Numbers (Wiley, 1972).
13. P. W. Sharpe and P. Vamos, Injective Modules (Cambridge University Press, Cambridge, 1972).
14. P. F. Smith, CS-Modules and Weak CS-Modules, in Non-Commutative Ring Theory, Lecture Notes in Mathematics, Vol. 1448 (Springer, 1990), pp. 99-115.