Groups with all subgroups subnormal or nilpotent-by-Chernikov
Rendiconti del Seminario Matematico della Università di Padova (2011)
- Volume: 126, page 245-253
- ISSN: 0041-8994
Access Full Article
topHow to cite
topSmith, Howard. "Groups with all subgroups subnormal or nilpotent-by-Chernikov." Rendiconti del Seminario Matematico della Università di Padova 126 (2011): 245-253. <http://eudml.org/doc/242333>.
@article{Smith2011,
author = {Smith, Howard},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {subnormal subgroups; Chernikov groups; locally-soluble-by-finite groups; locally graded groups; nilpotent-by-Chernikov groups},
language = {eng},
pages = {245-253},
publisher = {Seminario Matematico of the University of Padua},
title = {Groups with all subgroups subnormal or nilpotent-by-Chernikov},
url = {http://eudml.org/doc/242333},
volume = {126},
year = {2011},
}
TY - JOUR
AU - Smith, Howard
TI - Groups with all subgroups subnormal or nilpotent-by-Chernikov
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2011
PB - Seminario Matematico of the University of Padua
VL - 126
SP - 245
EP - 253
LA - eng
KW - subnormal subgroups; Chernikov groups; locally-soluble-by-finite groups; locally graded groups; nilpotent-by-Chernikov groups
UR - http://eudml.org/doc/242333
ER -
References
top- [1] M. F. Atiyah - I. G. Macdonald, Introduction to Commutative Algebra, (Addison-Wesley, 1969). Zbl0175.03601MR242802
- [2] A. Azarang, On maximal subrings, (FJMS) 32 (2009), pp. 107–118. Zbl1164.13004MR2526909
- [3] A. Azarang - O. A. S. Karamzadeh, On the existence of maximal subrings in commutative artinian rings, J. Algebra Appl., 9 (5) (2010), pp. 771–778. Zbl1204.13008MR2726553
- [4] A. Azarang - O. A. S. Karamzadeh, On Maximal Subrings of Commutative Rings, to appear in Algebra Colloquium (2011). Zbl1204.13008
- [5] H. E. Bell - F. Guerriero, Some Condition for Finiteness and Commutativity of Rings. Int. J. Math. Math. Sci., 13 (3) (1990), pp. 535–544. Zbl0711.16011MR1068018
- [6] H. E. Bell - A. A. Klein, On finiteness of rings with finite maximal subrings. J. Math. Math. Sci., 16 (2) (1993), pp. 351–354. Zbl0798.16009MR1210845
- [7] J. V. Brawley - G. E. Schnibben, Infinite algebraic extensions of finite fields (Contemporary mathemathics, 1989). Zbl0674.12009MR1006212
- [8] D. Ferrand - J.-P. Olivier, Homomorphismes minimaux danneaux, J. Algebra, 16 (1970), pp. 461–471. Zbl0218.13011MR271079
- [9] W. Fulton, Algebraic curves (Benjamin, New York, 1969). Zbl0181.23901MR313252
- [10] R. Hartshorne, Algebraic geometry (Graduate Texs in Math. 52, Springer-Verlag, New York-Heidelberg-Berlin, 1977). Zbl0367.14001MR463157
- [11] N. Jacobson, Lecture in Abstract Algebra III, Theorey of Fields and Galois Theory (Graduate Text in Mathematics 32, Springer-Verlag, New York, 1964). Zbl0455.12001MR392906
- [12] I. Kaplansky, Commutative Rings, Revised edn (University of Chicago Press, Chicago 1974). Zbl0296.13001MR345945
- [13] A. A. Klein, The Finiteness of a ring with a finite maximal subrings, Comm. Algebra, 21 (4) (1993), pp. 1389–1392. Zbl0793.16009MR1209936
- [14] T. J. Laffey, A finiteness theorem for rings, Proc. Roy. Irish Acad. Seet. A, 92 (2) (1992), pp. 285–288. Zbl0792.16005MR1204228
- [15] T. Y. Lam, A First Course in Noncmmutative Rings, Second edn, (Springer-Verlag, 2001). Zbl0728.16001MR1838439
- [16] T. Kwen Lee - K. Shan Liu, Algebra with a finite-dimensional maximal subalgebra. Comm. Algebra, 33 (1) (2005), pp. 339–342. Zbl1072.16020MR2128490
- [17] M. L. Modica, Maximal subrings, Ph.D. Dissertation. (University of Chicago, 1975). MR2611729
- [18] S. Roman, Field Theory, Second edn. (Springer-Verlag, 2006). Zbl0816.12001MR2178351
- [19] H. Stichtenoth, Algebraic Function Fields and Codes, Second edn, (Springer-Verlag, Berlin Heidelberg, 2009). Zbl0816.14011MR2464941
- [20] G. D. Villa Salvador, Topics in the Theory of Algebraic Function Fields, (Brikhauser Boston, 2006). Zbl1154.11001MR2241963
- [21] C. Weir, Hyperelliptic function fields, Proceedings of Ottawa Mathematics Conference, May (1-2), (2008).
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.