Lie algebras with the minimal condition on centralizer ideals
Falih A. M. Aldosray and Ian Stewart
Source: Hiroshima Math. J. Volume 19, Number 2
(1989), 397-407.
First Page:
Show
Hide
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.hmj/1206129399
Mathematical Reviews number (MathSciNet): MR1027942
Zentralblatt MATH identifier: 0697.17010
References
[1] F. A. M. Aldosray, On Lie algebras with finiteness conditions, Hiroshima Math. J. 13 (1983) 665-674.
Zentralblatt MATH: 0532.17007
Mathematical Reviews (MathSciNet): MR725971
[2] R. K. Amayo and I. N. Stewart, Infinite-dimensional Lie algebras, Noordhoff, Leyden, 1974.
Zentralblatt MATH: 0302.17006
[3] C. Faith, Rings with ascending chain condition on annihilators, Nagoya Math. J. 27 (1966) 179-191.
Zentralblatt MATH: 0154.03001
Mathematical Reviews (MathSciNet): MR193107
[4] A. W. Goldie, Semi-prime rings with maximum conditions, Proc. London Math. Soc. 10 (1960) 201-220.
Zentralblatt MATH: 0091.03304
Mathematical Reviews (MathSciNet): MR111766
[5] I. N. Herstein, Topics in Ring Theory, Chicago U. Press, 1969.
Zentralblatt MATH: 0232.16001
Mathematical Reviews (MathSciNet): MR271135
[6] T. Ikeda, Chain conditions for abelian, nilpotent and soluble ideals in Lie algebras, Hiroshima Math. J. 9 (1979) 465-467.
Zentralblatt MATH: 0421.17007
Mathematical Reviews (MathSciNet): MR535520
[7] N. Kawamoto, On prime ideals of Lie algebras, Hiroshima Math. J. 4 (1974) 679-684.
Zentralblatt MATH: 0303.17008
Mathematical Reviews (MathSciNet): MR364370
[8] F. Kubo, Finiteness conditions for abelian ideals and nilpotent ideals in Lie algebras, Hiroshima Math. J. 8 (1978) 301-303.
Zentralblatt MATH: 0383.17011
Mathematical Reviews (MathSciNet): MR480658
[9] F. Kubo and M. Honda, Quasi-artinian Lie algebras, Hiroshima Math. J. 14 (1984) 563-570.
Zentralblatt MATH: 0561.17006
Mathematical Reviews (MathSciNet): MR772987
[10] D. H. McLain, A characteristically simple group, Proc. Camb. Philos. Soc. 50 (1954) 641-642.
Zentralblatt MATH: 0056.02201
Mathematical Reviews (MathSciNet): MR64045
[11] E. Schenkman, A theory of subinvariant Lie algebras, Amer. J. Math. 73 (1951) 433-474.
Zentralblatt MATH: 0054.01804
Mathematical Reviews (MathSciNet): MR42399
[12] I. N. Stewart, The minimal condition for subideals of Lie algebras implies that every ascendant subalgebra is a subideal, Hiroshima Math. J. 9 (1979) 35-36.
Zentralblatt MATH: 0404.17010
Mathematical Reviews (MathSciNet): MR529323
[13] S. Togo, The minimal condition for ascendant subalgebras of Lie algebras, Hiroshima Math. J. 7 (1977) 683-687.
Zentralblatt MATH: 0389.17004
Mathematical Reviews (MathSciNet): MR460401
[14] S. Togo, Maximal conditions for ideals in Lie algebras, Hiroshima Math. J. 9 (1979) 469-471.
Zentralblatt MATH: 0421.17008
Mathematical Reviews (MathSciNet): MR535521
Hiroshima Mathematical Journal
