[1] P. E. Bland, A note on quasi-divisible modules, Comm. Algebra 18(6) (1990), 1953-1956.
[2] P. E. Bland, Topics in torsion theory, Mathematical Research, Vol. 103, Wiley-VCH Verlag Berlin GmbH, Berlin, 1998.
[3] P. E. Bland and P. F. Smith, Injective and projective modules relative to a torsion theory, New Zealand J. Math. 32(2) (2003), 105-115.
[4] D. A. Buchsbaum, A note on homology in categories, Ann. Math. 69 (1959), 66-74.
[5] J. L. Bueso, P. Jara and B. Torrecillas, Decomposition of injective modules relative to a torsion theory, Israel J. Math. 52(3) (1985), 266-272.
[6] S. Ceken and M. Alkan, On t-extending modules, Mediterr. J. Math. (to appear).
[7] A. W. Chatters and C. R. Hajarnavis, Rings in which every complement right ideal is a direct summand, Quart. J. Math. Oxford 28 (1977), 61-80.
[8] A. W. Chatters and S. M. Khuri, Endomorphism rings of modules over non-singular CS-rings, J. London Math. Soc. 21 (1980), 434-444.
[9] S. Charalambides and J. Clark, CS modules relative to a torsion theory, Mediterr. J. Math. 4 (2007), 291-308.
[10] S. Charalambides and J. Clark, Max modules relative to a torsion theory, J. Algebra Appl. 7(1) (2008), 21-45.
[11] S. Crivei, S-extending modules, S-lifting modules and proper classes, Comm. Algebra 36 (2008), 529-545.
[12] S. Crivei, Relatively extending modules, Springer Algebr. Represent Theor. 12 (2009), 319-332.
[13] S. DoÄŸruöz, Extending modules relative to module classes, Ph.D. Thesis, Glasgow University, 1997.
[14] S. DoÄŸruöz and P. F. Smith, Modules which are extending relative to module classes, Comm. Algebra 26(6) (1998), 1699-1721.
[15] S. DoÄŸruöz and P. F. Smith, Modules which are weak extending relative to module classes, Acta Math. Hungar. 87(1-2) (2000), 1-10.
[16] S. DoÄŸruöz, Classes of extending modules associated with a torsion theory, East-West J. Math. 8(2) (2006), 163-180.
[17] S. DoÄŸruöz, Extending modules relative to a torsion theory, Czech. Math. J. 58(133) (2008), 381-393.
[18] N. V. Dung, On indecomposable decomposition of CS-modules, J. Austral. Math. Soc. (Ser. A) 61(1) (1996), 30-41.
[19] N. V. Dung, D. V. Huynh, P. F. Smith and R. Wisbauer, Extending modules, Pitman Research Notes in Mathematics Series, Longman, Harlow, 1994.
[20] L. Fuchs, On quasi-injective modules, Ann. Sc. Norm. Sup. Pisa 23 (1969), 541-546.
[21] K. R. Goodearl and R. B. Warfield, An introduction to noncommutative noetherian rings, London Math. Society Student Texts 16, Cambridge Univ. Press, Cambridge, 1989.
[22] V. K. Goel and S. K. Jain, t-injective modules and rings whose cyclics are p-injective, Comm. Algebra 6 (1978), 59-73.
[23] J. S. Golan, Torsion Theories, Longman Scientific and Technical, New York, 1986.
[24] A. W. Goldie, The structure of prime rings under ascending chain conditions, Proc. London Math. Soc. 8(3) (1958), 589-608.
[25] A. W. Goldie, Semi-prime rings with maximum condition, Proc. London Math. Soc. 10(3) (1960), 201-220.
[26] A. W. Goldie, Torsion free modules and rings, J. Algebra 1 (1964), 268-287.
[27] J. L. Gomez Pardo, Spectral Gabriel topologies and relative singular functors, Comm. Algebra 13(1) (1985), 21-57.
[28] M. Harada, Note on quasi-injective modules, Osaka J. Math. 2 (1965), 351-356.
[29] M. Harada, On modules with extending property, Osaka J. Math. 19 (1982), 203-215.
[30] M. Harada and K. Oshiro, On extending property of direct sums of uniform modules, Osaka J. Math. 18 (1981), 767-785.
[31] A. Harmanci and P. F. Smith, Relative injectivity and module classes, Comm. Algebra 20(9) (1992), 2471-2511.
[32] A. Harmanci and P. F. Smith, Finite direct sums of CS-modules, Houston J. Math. 19(4) (1993), 523-532.
[33] L. Jeremy, Sur les modules et anneaux quasi-continus, C. R. Acad. Sci. Paris 273 (1971), 80-83.
[34] L. Jeremy, Modules et anneaux quasi-continus, Canad. Math. Bull. 17 (1974), 217-228.
[35] M. A. Kamal and B. J. Müller, Extending modules over commutative domains, Osaka J. Math. 25 (1988), 531-538.
[36] M. A. Kamal and B. J. Müller, The structure of extending modules over noetherian rings, Osaka J. Math. 25 (1988), 539-551.
[37] M. A. Kamal and B. J. Müller, Torsion free extending modules, Osaka J. Math. 25 (1988), 825-832.
[38] M. A. Kamal and O. A. Elmnopy, On P-extending modules, Acta Math. Univ. Comenian. 74(2) (2005), 279-286.
[39] Zhongkui Liu and Yanjun Du, On ecg-extending and ecg-quasicontinuous modules, Arab. J. Sci. Eng. 27(1A) (2002), 115-120.
[40] A. P. Mishina and L. A. Skornjakov, Abelian groups and modules, Amer. Math. Soc. Transl. Ser. 2, 107 (1976), 1-160.
[41] S. Mohamed and T. Bouhy, Continnuous modules, Arab. J. Sci. Eng. 2 (1977), 107-122.
[42] S. Mohamed and B. J. Müller, Continuous and discrete modules, London Mathematical Soc. Lecture Note Series 147, Cambridge University Press, 1990.
[43] B. J. Müller and S. T. Rizvi, On the decomposition of continuous modules, Canad. Math. Bull. 25 (1982), 296-301.
[44] B. J. Müller and S. T. Rizvi, On the existence of continuous hulls, Comm. Algebra 10 (1982), 1819-1838.
[45] B. J. Müller and S. T. Rizvi, On injective and quasi-continuous modules, J. Pure Appl. Algebra 28 (1983), 197-210.
[46] M. Okado, On the decomposition of extending modules, Math. Japonica 29 (1984), 939-941.
[47] K. Oshiro, Continuous modules and quasi-continuous modules, Osaka J. Math. 20 (1983), 681-694.
[48] T. Özen, C1 modules with respect to hereditary torsion theory, Turkish J. Math. 33(4) (2009), 321-330.
[49] P. F. Smith, CS-modules and weak CS-modules, Lecture Notes in Mathematics 1448, Springer-Verlag, 1990, pp. 99-115.
[50] P. F. Smith, Modules for which every submodule has a unique closure, Proceedings of the Biennial Ohio-Denison Conference, 1992, pp. 302-313.
[51] P. F. Smith, A. M. Viola-Prioli and J. E. Viola-Prioli, Modules complemented with respect to a torsion theory, Comm. Algebra 25(4) (1997), 1307-1326.
[52] B. Stenström, Rings of Quotients, Springer-Verlag, Berlin, 1975.
[53] L. Van Thuyet and R. Wisbauer, Extending property for finitely generated submodules, Vietnam J. Math. 25 (1997), 65-73.
[54] C. Quynh Truong and L. Van Thuyet, Some properties of ef-extending rings, Math. J. Okayama Univ. 52 (2010), 123-131.
[55] T. Takeuchi, On direct modules, Hokkaido Math. J. 1 (1972), 168-177.
[56] Y. Utumi, On continuous regular rings and semisimple self-injective rings, Canad. J. Math. 12 (1960), 597-605.
[57] Y. Utumi, On continuous regular rings, Canad. Math. Bull. 4 (1961), 63-69.
[58] Y. Utumi, On continuous rings and self-injective rings, Trans. Amer. Math. Soc. 118 (1965), 158-173.
[59] Y. Utumi, On continuity and self injectivity of a complete regular ring, Canad. J. Math. 18 (1966), 404-412.
[60] Ö. Ürün, Maps of modules that every closed submodules are direct summand, Thesis, Adnan Menderes Univ. Natural Science Institute, 2011.
[61] J. von Neumann, Continuous geometry, Proc. Nat. Acad. Sci. 22 (1936), 92-100.
[62] J. von Neumann, On regular rings, Proc. Nat. Acad. Sci. 22 (1936), 707-713.
[63] O. Y. Zeng, On generalized extending modules, J. Zhejiang Univ. Sci. A 8(6) (2007), 939-945. |