Voir la notice de l'article provenant de la source Cambridge University Press
CARVALHO, PAULA A. A. B.; MUSSON, IAN M. MONOLITHIC MODULES OVER NOETHERIAN RINGS. Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 683-692. doi: 10.1017/S0017089511000267
@article{10_1017_S0017089511000267,
author = {CARVALHO, PAULA A. A. B. and MUSSON, IAN M.},
title = {MONOLITHIC {MODULES} {OVER} {NOETHERIAN} {RINGS}},
journal = {Glasgow mathematical journal},
pages = {683--692},
year = {2011},
volume = {53},
number = {3},
doi = {10.1017/S0017089511000267},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000267/}
}
TY - JOUR AU - CARVALHO, PAULA A. A. B. AU - MUSSON, IAN M. TI - MONOLITHIC MODULES OVER NOETHERIAN RINGS JO - Glasgow mathematical journal PY - 2011 SP - 683 EP - 692 VL - 53 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000267/ DO - 10.1017/S0017089511000267 ID - 10_1017_S0017089511000267 ER -
[1] 1.Benkart, G. and Roby, T., Down-up algebras, J. Algebra 209 (1998), 305–344. Addendum, J. Algebra (1999), 378. Google Scholar | DOI
[2] 2.Bavula, V. and Van Oystaeyen, F., Krull dimension of generalized Weyl algebras and iterated skew polynomial rings: Commutative coefficients, J. Algebra 208 (1998), 1–34. Google Scholar | DOI
[3] 3.Brown, K. A., The structure of modules over polycyclic groups, Math. Proc. Camb. Philos. Soc. 89 (2) (1981), 257–283. Google Scholar | DOI
[4] 4.Carvalho, P. A. A. B. and Musson, I. M., Down-up algebras and their representation theory, J. Algebra 228 (2000), 286–310. Google Scholar | DOI
[5] 5.Carvalho, P. A. A. B., Lomp, C. and Pusat-Yilmaz, D., Injective modules over down-up algebras, Glasgow Math. J. 52A (2010), 53–59. Google Scholar | DOI
[6] 6.Chatters, A. W. and Hajarnavis, C. R., Rings with chain conditions, Research Notes in Mathematics Series, Vol. 44 (Pitman Advanced Publishing Program, San Francisco, CA, 1980). Google Scholar
[7] 7.Dahlberg, R. P., Injective hulls of simple sl(2, ℂ) modules are locally Artinian, Proc. Amer. Math. Soc. 107 (1) (1989), 35–37. Google Scholar
[8] 8.Donkin, S., On the Noetherian property in endomorphism rings of certain comodules, J. Algebra 70 (2) (1981), 394–419. Google Scholar | DOI
[9] 9.Hall, P., On the finiteness of certain soluble groups, Proc. London Math. Soc. 3 (9) (1959), 595–622. Google Scholar | DOI
[10] 10.Hildebrand, J., Centers of down-up algebras over fields of prime characteristic, Comm. Algebra 30 (2002), 171–191. Google Scholar | DOI
[11] 11.Jategaonkar, A. V., Jacobson's conjecture and modules over fully bounded Noetherian rings, J. Algebra 30 (1974), 103–121. Google Scholar | DOI
[12] 12.Jategaonkar, A. V., Integral group rings of polycyclic-by-finite groups, J. Pure Appl. Algebra 4 (1974), 337–343. Google Scholar | DOI
[13] 13.Kirkman, E., Musson, I. M. and Passman, D. S., Noetherian down-up algebras, Proc. Amer. Math. Soc. 127 (11) (1999), 3161–3167. Google Scholar | DOI
[14] 14.Kulkarni, R. S., Down-up algebras at roots of unity, Proc. Amer. Math. Soc. 136 (10) (2008), 3375–3382. Google Scholar | DOI
[15] 15.Musson, I. M., Injective modules for group rings of polycyclic groups, I, Quart. J. Math. Oxford Ser. 2 (31) (1980), 429–448. Google Scholar | DOI
[16] 16.Musson, I. M., Injective modules for group rings of polycyclic groups, II, Quart. J. Math. Oxford Ser. 2 (31) (1980), 449–466. Google Scholar | DOI
[17] 17.Musson, I. M., Some examples of modules over Noetherian rings, Glasgow Math. J. 23 (1982), 9–13. Google Scholar | DOI
[18] 18.Passman, D. S., The algebraic structure of group rings (reprint of the 1977 original) (Robert E. Krieger Publishing, Melbourne, FL, 1985). Google Scholar
[19] 19.Praton, I., Primitive ideals of Noetherian down-up algebras, Comm. Algebra 32 (2004), 443–471. Google Scholar | DOI
[20] 20.Roseblade, J. E., Applications of the Artin-Rees lemma to group rings, Sympos. Math. 17 (1976), 471–478 (Convegno sui Gruppi Infiniti, INDAM, Rome, 1973, Academic Press, London). Google Scholar
[21] 21.Sharpe, D. W. and Vamos, P., Injective modules, (Cambridge Tracts in Mathematics and Mathematical Physics, Vol. 62) (Cambridge University Press, Cambridge, UK, 1972). Google Scholar
[22] 22.Zhao, K., Centers of down-up algebras, J. Algebra 214 (1999), 103–121. Google Scholar | DOI
Cité par Sources :