References
- Albu, T., Rizvi, S. (2001). Chain condition on quotient finite dimensional modules. Commun. Algebra 29(5):1909–1928.
- Albu, T., Vamos, P. (1998). Global Krull Dimension and Global Dual Krull Dimension of Valuation Rings. Lecture Notes in Pure and Applied Mathematics. Vol 201, pp. 37–54.
- Albu, T., Smith, P.F. (1999). Dual Krull dimension and duality. Rocky Mountain J. Math. 29:1153–1164.
- Albu, T., Teply, L. (2000). Generalized deviation of posets and modular lattices. Discrete Math. 214:1–19.
- Alehafttan, A. R., Shirali, N. On the Noetherian dimension of Artinian modules with homogeneous uniserial dimension. To appear in the bulletin of iranian mathematical society.
- Al-Khazzi, I (1991). Modules with chain conditions on superfluous submodules. Commun. Algebra 19:2331–2351
- Anderson, F. W., Fuller, K. R. (1992). Rings and Categories of Modules. Grad. Texts Math., Vol. 13. Berlin: Springer.
- Brodskii, G. M. (1996). Modules lattice isomorphic to linearly compact modules. Math. Notes 56:123–127.
- Chambless, L. (1980). N-Dimension and N-critical modules, Application to Artinian modules. Commun. Algebra 8:1561–1592.
- Davoudian, M., Halali, A., Shirali, N. (2014). On α-almost Artinian modules. Open Math 14:404–413.
- Davoudian, M., Shirali, N. Perfect dimension. To appear.
- Davoudian, M., Karamzadeh, O. A. S., Shirali, N. (2016). On α-short modules. Math. Scan. 114:26–37.
- Goodearl, K. R. (1972). Singular tortion and the splitting properties. Amer. Math. Soc. Memoris 124.
- Gordon, R., Robson, J. C. (1973). Krull dimension. Mem. Amer. Math. Soc. 133.
- Grzeszczuk, P., Puczylowski, E. R. (1984). On Goldie and dual Goldie dimension. J. Pure Appl. Algebra 31:47–54.
- Hashemi, J., Karamzadeh, O. A. S., Shirali, N. (2009). Rings over which the Krull dimension and the Noetherian dimension of all modules coincide. Commun. Algebra 37:650–662.
- Herbera, D., Shamsuddin, A. (1995). Modules with semi-local endomorphism ring. Proc. Amer. Math. Soc. 123:3593–3600.
- Karamzadeh, O. A. S., Shirali, N. (2004). On the countablity of Noetherian dimension of Modules. Commun. Algebra 32:4073–4083.
- Karamzadeh, O. A. S. (1982). When are Artinian modules countably generated? Bull. Iran. Math. Soc. 9(2):171–176.
- Karamzadeh, O. A. S., Sajedinejad, A. R. (2001). Atomic modules. Commun. Algebra 29(7):2757–2773.
- Kirby, D. (1990). Dimension and length for Artinian modules. Quart. J. Math. Oxford 2:419–429.
- Lemonnier, B. (1972). Déviation des ensembles et groupes abéliens totalement ordonnés. Bull. Sci. Math. 96:289–303.
- Liang, S., Jianlong, C. (2007). On strong Goldie dimension. Commun. Algebra 35:3018–3025.
- Lomp, C. (1996). On dual Goldie dimension. Diplomarbeit(M. Sc. Thesis), HHU Doesseldorf, Germany.
- Lomp, C. (1998). Modules whose small submodules have Krull dimension. J. Pure Appl. Algebra 133:197–202.
- McConell, J. C., Robson, J. C. (1987). Noncommutative Noetherian Rings. New York: Wiley-Interscience.
- Puczylowski, E. R. (1995). On the uniform dimension of the radical of a module. Commun. Algebra 23:771–776.
- Rahimpour, Sh. (2002). Double infinite chain condition on small, and f.g. submodules. Far East J. Math. Sci. (FJMS) 6(2):167–177.
- Shirali, N. (2003). On the cardinality of the minimal generating set of modules with Krull-dimension. Far East J. Math. Sci. (FJMS) 11(1):95–104.
- Shores, T. S. (1974). Loewy series of modules. J. Reine Angew. Math. 265:185–200.
- Vamos, P. (1968). The dual of the notion of finitely generated. J. London. Math. Soc. 43:643–646.
- Wisbauer, R. (1991). Foundations of Module and Ring Theory. Reading: Gordon and Breach Science Publishers.