References
- Annin, S. (2002). Associated primes over skew polynomial rings. Commun. Algebra 30(5):2511–2528. DOI: 10.1081/AGB-120003481.
- Bourbaki, N. (1985). Eléments de Mathématique. Algèbre Commutative, Chapitres 1 et 2. Paris: Masson.
- Camillo, V., Yousif, M. F. (1991). CS-modules with ACC or DCC on essential submodules. Commun. Algebra 19(2):655–662. DOI: 10.1080/00927879108824160.
- Contessa, M. (1986). On rings and modules with DICC. J. Algebra 101(2):489–496. DOI: 10.1016/0021-8693(86)90207-3.
- Contessa, M. (1987). On DICC rings. J. Algebra 105(2):429–436. DOI: 10.1016/0021-8693(87)90206-7.
- Cornulier, Y. (2009). The space of finitely generated rings. Int. J. Algebra Comput. 19(03):373–382. DOI: 10.1142/S0218196709005068.
- Dung, N. V., Smith, P. F. (1992). On semi-artinian V-modules. J. Pure Appl. Algebra 82(1):27–37. DOI: 10.1016/0022-4049(92)90008-4.
- Facchini, A. (1981). Loewy and Artinian modules over commutative rings. Ann. Mat. Pura Appl. 128(1):359–374. DOI: 10.1007/BF01789482.
- Faith, C. (1991). Annihilator ideals, associated primes and Kasch-McCoy commutative rings. Commun. Algebra 19(7):1867–1892. DOI: 10.1080/00927879108824235.
- Gabriel, P. (1962). Des catégories abéliennes. Bull. Soc. Math. France 90:323–448. DOI: 10.24033/bsmf.1583.
- Gilmer, R., Heinzer, W., Roitman, M. (1999). Finite generation of powers of ideals. Proc. Amer. Math. Soc. 127(11):3141–3151. DOI: 10.1090/S0002-9939-99-05199-0.
- Glaz, S. (1989). Commutative Coherent Rings. Lecture Notes in Mathematics, Vol. 1371. Berlin, Heidelberg: Springer-Verlag. DOI: 10.1007/BFb0084570.
- Gordon, R., Robson, J. C. (1973). Krull dimension. Memoirs of the American Mathematical Society, Vol. 133. Providence, RI: American Mathematical Society. DOI: 10.1090/memo/0133.
- Gordon, R., Robson, J. C. (1974). The Gabriel dimension of a module. J. Algebra 29(3):459–473. DOI: 10.1016/0021-8693(74)90081-7.
- 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(2):650–662. DOI: 10.1080/00927870802254835.
- Huckaba, J. A. (1988). Commutative Rings with Zero Divisors. Monographs and Textbooks in Pure and Applied Mathematics, Vol. 117. New York: Marcel Dekker, Inc.
- Iroz, J., Rush, D. E. (1984). Associated prime ideals in non-Noetherian rings. Canad. J. Math. 36(2):344–360. DOI: 10.4153/CJM-1984-021-6.
- Kourki, F. (2009). Sur les extensions triviales commutatives. Ann. Math. Blaise Pascal 16(1):139–150. DOI: 10.5802/ambp.260.
- Kourki, F., Tribak, R. (2018). On semiartinian and Π-semiartinian modules. Palestine J. Math. 7(Special Issue: I):99–107.
- Kourki, F., Tribak, R. (2018). Some results on locally noetherian modules and locally Artinian modules. Kyungpook Math. J. 58:1–8. DOI: 10.5666/KMJ.2018.58.1.1.
- Lam, T. Y. (1999). Lectures on Modules and Rings. Graduate Texts in Mathematics, Vol. 189. New York: Springer-Verlag.
- Lam, T. Y. (2001). A First Course in Noncommutative Rings. Graduate Texts in Mathematics, Vol. 131, 2nd ed. New York: Springer-Verlag.
- Năstăsescu, C. (1973). La filtration de Gabriel. Annali Della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 3 27(3):457–470. http://www.numdam.org/item/ASNSP_1973_3_27_3_457_0/.
- Năstăsescu, C. (1973). La filtrazione di Gabriel-II. Rend. Semin. Mat. Univ. Padova 50:189–195. http://www.numdam.org/item/RSMUP_1973__50__189_0/.
- Năstăsescu, C., van Oystaeyen, F. (1987). Dimensions of Ring Theory. Mathematics and Its Applications. Dordrecht: D. Reidel Publishing Company.
- Nguyen-Trong-Kham. (1972). D-anneaux I. Rev. Roumaine Math. Pures Appl. 17(10):1671–1680.
- Nguyen-Trong-Kham. (1973). Théorie de la décomposition primaire dans les D-anneaux II. Rev. Roumaine Math. Pures Appl. 18(1):65–76.
- Popescu, N. (1973). Abelian Categories with Applications to Rings and Modules. London Mathematical Society Monographs, Vol. 3. London: Academic Press.
- Raynaud, J. (1984). Profondeur, hauteur et localisations en algèbre non commutative. J. Pure Appl. Algebra 31(1–3):199–215. DOI: 10.1016/0022-4049(84)90086-0.
- Sharpe, D. W., Vámos, P. (1972). Injective Modules. Cambridge: Cambridge University Press.
- Stenström, B. (1975). Rings of Quotients: An Introduction to Methods of Ring Theory. Grundlehren Der Mathematischen Wissenschaften, Vol. 217. Berlin, Heidelberg: Springer-Verlag. DOI: 10.1007/978-3-642-66066-5.
- Tanabe, K. (1994). On rings whose Artinian modules are precisely noetherian modules. Commun. Algebra 22(10):4023–4032. DOI: 10.1080/00927879408825063.
- Vámos, P. (1968). The dual of the notion of “finitely generated. J. London Math. Soc. 43(1):643–646. DOI: 10.1112/jlms/s1-43.1.643.