REFERENCES
- Ali , M. M. ( 2012 ). Some remarks on multiplication and flat modules . J. Commutative Algebra 4 : 1 – 27 .
- Ali , M. M. ( 2010 ). Generalized GCD rings III . Beitrage zur Algebra und Geom. 51 : 531 – 546 .
- Ali , M. M. ( 2008 ). Idempotent and nilpotent submodules of multiplication modules . Communications in Algebra 36 : 4620 – 4642 .
- Ali , M. M. ( 2006 ). Multiplication modules and tensor product . Beitrage zur Algebra und Geom 47 : 305 – 327 .
- Ali , M. M. , Smith , D. J. ( 2005 ). Locally cyclic projective modules . New Zealand J. Math 34 : 11 – 23 .
- Ali , M. M. , Smith D. J. ( 2004 ). Some remarks on multiplication and projective modules . Communications in Algebra 32 : 3897 – 3909 .
- Ali , M. M. , Smith , D. J. ( 2004 ). Pure submodules of multiplication modules . Beitrage zur Algebra und Geom. 45 : 61 – 74 .
- Ali , M. M. , Smith , D. J. ( 2002 ). Projective, flat and multiplication modules . New Zealand J. Math. 31 : 115 – 129 .
- Ali , M. M. , Smith , D. J. ( 2001 ). Finite and infinite collections of multiplication modules . Beitrage zur Algebra und Geom. 42 : 557 – 573 .
- Al-Shaniafi , Y. (2003). Endomorphisms of a multiplication module. Arab J. Math. Sci. 9:9–16.
- Al-Shaniafi , Y. , Singh , S. ( 2003 ). A Companian ideal of a multiplication module . Period. Math. Hungar. 46 : 1 – 8 .
- Anderson , D. D. ( 1980 ). Some remarks on multiplication ideals . Math. Japonica 4 : 463 – 469 .
- Anderson , D. D. , Al-Shaniafi , Y. ( 2002 ). Multiplication modules and the ideal θ(M) . Communications in Algebra 30 : 3383 – 3390 .
- Choi , C. W. , Smith , P. F. ( 1994 ). On the endomorphisms of multiplication modules . J. Korean Math. Soc. 31 : 89 – 95 .
- El-Bast , Z. A. , Smith , P. F. ( 1988 ). Multiplication modules . Communications in Algebra 16 : 755 – 779 .
- Faith , C. ( 1981 ). Algebra I: Rings, Modules and Categories . Springer Verlag .
- Gaur , A. , Maloo , A. K. ( 2009 ). The theta ideal, dense submodules and the forcing linearity number for a multiplication module . Beitrage zur Algebra und Geom. 50 : 589 – 602 .
- Kaplansky , I. ( 1974 ). Commutative rings . Chicago : University of Chicago Press .
- Kash , F. ( 1982 ). Modules and Rings . London : Academic Press .
- Larsen , M. D. , MacCarthy , P. J. ( 1971 ). Multiplicative Theory of Ideals . New York : Academic Press .
- Naoum , A. G. ( 1990 ). Flat modules and multiplication modules . Period. Math. Hungar. 21 : 309 – 317 .
- Singh , S. , Al-Shaniafi , Y. ( 2001 ). Multiplication modules . Communications in Algebra 29 : 2597 – 2609 .
- Smith , P. F. ( 1988 ). Some remarks on multiplication modules . Arch. Math. 50 : 223 – 235 .
- Tiras , Y. , Harmanci , A. , Smith , P. F. ( 2000 ). Some remarks on dense submodules of multiplication modules . Communications in Algebra 28 : 2291 – 2296 .
- Vasconcelos , W. V. ( 1969 ). On projective modules of finite rank . Proc. Amer. Math. Soc. 22 : 430 – 433 .
- Communicated by T. Albu.