References
- J. A. Beachy, M-injective modules and prime M-ideals, Comm. Algebra 30 (2002), no. 10, 4649-4676. https://doi.org/10.1081/AGB-120014660
- M. Behboodi, On the prime radical and Baer's lower nilradical of modules, Acta Math. Hungar. 122 (2009), no. 3, 293-306. https://doi.org/10.1007/s10474-008-8028-3
- M. Behboodi, A generalization of the classical krull dimension for modules, J. Algebra 305 (2006), no. 2, 1128-1148. https://doi.org/10.1016/j.jalgebra.2006.04.010
- M. Behboodi, A generalization of Baer's lower nilradical for modules, J. Algebra Appl. 6 (2007), no. 2, 337-353. https://doi.org/10.1142/S0219498807002284
- M. Behboodi and H. Koohy, Wealy prime modules, Vietnam J. Math. 32 (2004), no. 2, 185-195.
-
J. C. Perez and J. R. Montes, Prime submodules and local Gabriel correspondence in
${\sigma}$ [M], Comm. Algebra 40 (2012), no. 1, 213-232. https://doi.org/10.1080/00927872.2010.529095 - J. Dauns, Prime modules, J. Reine Angew. Math. 298 (1978), 156-181.
- P. Gabriel, Des categories Abeliennes, Bull. Soc. Math. France 90 (1964), 323-448.
- K. R. Goodearl and R. B. Warfield, An Introduction to Non-Commutative Noetherian Rings, London Math. Soc. Student Texts 16, Camberidge University Press, Cambrige, 1989.
- J. Jenkins and P. F. Smith, On the prime radical of a module over a commutative ring, Comm. Algebra 20 (1992), no. 12, 3593-3602. https://doi.org/10.1080/00927879208824530
- H. I. Karakas, On Noetherian module, METU J. Pure Appl. Sci. 5 (1972), no. 2, 165-168.
- K. Koh, On prime one-sided ideals, Canad. Math. Bull. 14 (1971), 259-260. https://doi.org/10.4153/CMB-1971-047-3
- G. Krause, On fully left bounded left Noetherian ring, J. Algebra 23 (1972), 88-99. https://doi.org/10.1016/0021-8693(72)90047-6
- T. Y. Lam, A First Course in Noncommutative Rings, Springer-Verlag New York, Inc 1991.
- C. P. Lu, Prime submodules of modules, Comment. Math. Univ. St. Paul. 33 (1984), no. 1, 61-69.
- S. H. Man, On commutative Noetherian rings which have the s.p.a.r. property, Arch. Math. (Basel) 70 (1998), no. 1, 31-40. https://doi.org/10.1007/s000130050162
- R. L. McCasland, M. E. Moore, On radicals of submodules, Comm. Algebra 19 (1991), 1327-1341. https://doi.org/10.1080/00927879108824205
- 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
- G. Michler, Prime right ideals and right Noetherian rings, Proc. Symposium on Theory of Rings, 1971, in Ring theory (R. Gordon, ed.), 251-255, Academic Press, New York, 1972.
- P. F. Smith, The injective test lemma in fully bounded rings, Comm. Algebra 9 (1981), no. 17, 1701-1708. https://doi.org/10.1080/00927878108822677
- R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach Reading 1991.