References
- Atiyah, M. F., MacDonald, I. G. (1969). Introduction to Commutative Algebra. London: Addison-Wesley Publishing Company.
- Atani, S. E. (2001). On secondary modules over Dedekind domains. Southeast Asian Bull Math. 25(1):1–6. DOI: 10.1007/s10012-001-0001-9.
- Atani, S. E. (2002). On secondary modules over pullback rings. Commun. Algebra 30(6):2675–2685. DOI: 10.1081/AGB-120003982.
- Frohn, D. (2002). Modules with n-acc and the acc on certain types of annihilators. J. Algebra 256:467–483. DOI: 10.1016/S0021-8693(02)00039-X.
- Fuchs, L., Salce, L. (2001). Modules over non-Noetherian Domains, Mathematical Surveys and Monographs (Vol. 84). American Mathematical Society.
- Gilmer, R. W. (1964). Integral domains which are almost Dedekind. Proc. Am. Math. Soc.. 15(5):813–818. DOI: 10.1090/S0002-9939-1964-0166212-8.
- Gilmer, R. W. (1992). Multiplicative ideal theory. Queen’s Papers in Pure and Applied Mathematics, Vol. 90. Kingston: Queen's University.
- Hazewinkel, M. (1996). Handbook of Algebra, Vol. 1. Amsterdam: Elsevier.
- Heinzer, W., Lantz, D. (1983). Commutative rings with acc on n-generated ideals. J. Algebra 80:261–278. DOI: 10.1016/0021-8693(83)90031-5.
- Kaplansky, I. (1952). Modules over Dedekind rings and valuation rings. Trans. Amer. Math. Soc. 72:327–340. DOI: 10.1090/S0002-9947-1952-0046349-0.
- Lam, T. Y. (1999). Lectures on Modules and Rings. Berlin: Springer.
- Loper, A. (2006). Almost Dedekind domains which are not Dedekind, in Multiplicative ideal theory in commutative algebra. A Tribute to the Work of Robert Gilmer, edited by W. Brewer, S. Glaz, W. Heinzer, and B. Olberding, 276–292. New York: Springer.
- Macdonald, I. G. (1973). Secondary representation of modules over commutative rings, Symposia Matematica, Vol. 11, Istituto Nazionale di Alta Mathematica, Roma, 11, 23–43.
- Mousavi, S. A., Nekooei, R. (2019). Characterization of secondary modules over Dedekind domains. Iran. J. Sci. Technol., Trans. A, Sci. 43(3):919–922. DOI: 10.1007/s40995-018-0555-3.
- Mousavi, S. A., Mirzaei, F., Nekooei, R. On representable rings and modules, Submitted.
- Nicolas, A. M. (1979). Sur les modules tels que toute suite croissante de sousmodules engendrés par n générateurs soit stationnaire. J. Algebra 60:249–260. DOI: 10.1016/0021-8693(79)90120-0.
- Olberding, B. (2009). On Matlis domains and Prüfer sections of Noetherian domains, Commut. Algebra Appl. 1–12.
- Prest M. (2009). Purity, Spectra and Localisation. New York: Cambridge University Press.
- Salce, L., Vamos, P. (2006). On some classes of divisible modules, Rend. Sem. Mat. Univ. Padova 115:125–136.
- Sharp, R. Y. (2000). Steps in commutative algebra, 2nd ed. London Society Student Texts 51, Cambridge University Press.
- Wang, F., Kim, H. (2016). Foundations of commutative rings and their modules, Algebra and Applications, Vol. 22, Springer.