참고문헌
- Reza Ameri, On the prime submodules of multiplication modules, Int. J. Math. Math. Sci. (2003), no. 27, 1715-1724.
- M. F. Atiyah and I. G. Macdonald, Introduction to commutative algebra, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1969.
- Kamran Divaani-Aazar and Mohammad Ali Esmkhani, Associated prime submodules of finitely generated modules, Comm. Algebra 33 (2005), no. 11, 4259-4266. https://doi.org/10.1080/00927870500279027
- David Eisenbud, Commutative algebra, Graduate Texts in Mathematics, vol. 150, Springer-Verlag, New York, 1995, With a view toward algebraic geometry.
- Zeinab Abd El-Bast and Patrick F. Smith, Multiplication modules, Comm. Al-gebra 16 (1988), no. 4, 755-779. https://doi.org/10.1080/00927878808823601
- Friedrich Ischebeck and Ravi A. Rao, Ideals and reality, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2005, Projective modules and number of generators of ideals.
- Irving Kaplansky, Commutative rings, Allyn and Bacon, Inc., Boston, Mass., 1970.
- Max. D. Larsen and Paul J. McCarthy, Multiplicative theory of ideals, Academic Press, New York-London, 1971, Pure and Applied Mathematics, Vol. 43.
- Hideyuki Matsumura, Commutative ring theory, Cambridge Studies in Advanced Mathematics, vol. 8, Cambridge University Press, Cambridge, 1986, Translated from the Japanese by M. Reid.
- R. L. McCasland and P. F. Smith, Prime submodules of Noetherian modules, Rocky Mountain J. Math. 23 (1993), no. 3, 1041-1062. https://doi.org/10.1216/rmjm/1181072540
- Fazal Mehdi, On multiplication modules, Math. Student 42 (1974), 149-153 (1975).
- Hosein Fazaeli Moghimi and Javad Bagheri Harehdashti, Mappings between lattices of radical submodules, Int. Electron. J. Algebra 19 (2016), 35-48. https://doi.org/10.24330/ieja.266191
- R. Y. Sharp, Steps in commutative algebra, London Mathematical Society Student Texts, vol. 19, Cambridge University Press, Cambridge, 1990.
- D. W. Sharpe and P. Vamos, Injective modules, Cambridge University Press, London-New York, 1972, Cambridge Tracts in Mathematics and Mathematical Physics, No. 62.
- Patrick F. Smith, Some remarks on multiplication modules, Arch. Math. (Basel) 50 (1988), no. 3, 223-235. https://doi.org/10.1007/BF01187738
- Patrick F. Smith, Mappings between module lattices, Int. Electron. J. Algebra 15 (2014), 173-195. https://doi.org/10.24330/ieja.266246
- Patrick F. Smith, Fully invariant multiplication modules, Palest. J. Math. 4 (2015), no. Special issue, 462-470.