Modules whose submodules are essentially embedded in direct summands

Communications in Algebra

Volumn 37, Issue 2, 2009, Pages 460-469

  Takil, Fígen ^a   Tercan, Adnan ^b  

^a ANADOLU UNIVERSITY   (Turkey)

^b HACETTEPE UNIVERSITY   (Turkey)

Author keywords

C 11 Module; C12 Module; Cancellable module; Extending module; Finite uniform dimension

Indexed keywords

EID: 60649118367     PISSN: 00927872     EISSN: 15324125     Source Type: Journal    
DOI: 10.1080/00927870802248688     Document Type: Article

References (14)

1. Anderson, F. W., Fuller, K. R. (1974). Rings and Categories of Modules. New York: Springer-Verlag.
2. Birkenmeier, G. F., Tercan, A. (2007). When some complement of a submodule is a summand. Comm. Algebra 35:597-611.
3. Bredon, G. E. (1993). Topology and Geometry. New York: Springer-Verlag.
4. Camillo, V., Yousif, M. F. (1991). CS-modules with acc or dcc on essential submodules. Comm. Algebra 19:655-662.
5. Dung, N. V., Huynh, D. V., Smith, P. F., Wisbauer, R. (1994). Extending Modules. Pitman RN Mathematics 313. Harlow: Longman.
6. Er, N. (1999). Direct sums and summands of weak CS-modules and continuous modules. Rocky Mount. J. Math. 29(2):491-503.
7. Goodearl, K. R. (1972). Singular torsion and the splitting properties. Amer. Math. Soc. Memoirs 124:89.
8. Lam, T. Y. (1999). Lectures on Modules and Rings. New York: Springer-Verlag.
9. Mohamed, S. H., Muller, B. J. (1990). Continuous and Discrete Modules. London Math. Soc. Lecture Note Series Vol. 147. Cambridge: Cambridge Univ. Press.
10. Smith, P. F., Tercan, A. (1993). Generalizations of CS-modules. Comm. Algebra 21:1809-1847.
11. 11). Algebra Colloq. 11(2):231-237.
12. +) modules with ACC or DCC on essential submodules. Taiwanese J. Math. 5(4):731-738.
13. +) modules with ACC or DCC on essential submodules." Taiwanese J. Math. 8(3):557-558.
14. 11)-modules and algebraic topology type examples. Rocky Mount. J. Math. 34:783-792.