[In] mathematics... we never know what we are talking about, nor whether what we are saying is true.        Bertrand Russell
Ian STEWART
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Algebra

The minimal condition for subideals of Lie algebras, Math. Z. 111 (1969) 301-310.

An algebraic treatment of Mal'cev's theorems concerning nilpotent Lie groups and their Lie algebras, Compositio Math. 22 (1970) 289-312.

Infinite-dimensional Lie algebras in the spirit of infinite group theory, Compositio Math. 22 (1970) 313-331.

A property of locally finite Lie algebras, J. London Math. Soc. (2) 3 (1971) 334-340.

Bounds for the dimensions of certain Lie algebras, J. London Math. Soc. (2) 3 (1971) 731-732.

Structure theorems for a class of locally finite Lie algebras, Proc. London Math. Soc. (3) 24 (1972) 79-100.

Finite rings with a specified group of units, Math. Z. 126 (1972) 51-58. [Correction]

Levi factors of infinite-dimensional Lie algebras, J. London Math. Soc. (2) 5 (1972) 488.

[with R.K.Amayo] Finitely generated Lie algebras, J. London Math. Soc. (2) 5 (1972) 697-703.

The Lie algebra of endomorphisms of an infinite-dimensional vector space, Compositio Math. 25 (1972) 79-86.

Baer and Fitting radicals in groups and Lie algebras, Arch. Math. (Basel) 23 (1972) 385-386.

Tensorial extensions of central simple algebras, J. Algebra 25 (1973) 1-14.

Central simplicity in Chevalley algebras, Compositio Math. 27 (1973) 111-118.

Finiteness conditions in soluble groups and Lie algebras, Bull. Australian Math. Soc. 9 (1973) 43-48.

A note on 2-step subideals of Lie algebras, Compositio Math. 27 (1973) 273-275.

[with M.Drukker and D.J.S.Robinson] The subnormal coalescence of some classes of groups of finite rank, J. Australian Math. Soc. 16 (1973) 324-327; reprinted in To the Memory of Hanna Neumann, Australian Math. Soc. 1975.

Verbal and marginal properties of non-associative algebras, Proc. London Math. Soc. (3) 28 (1974) 129-140.

Soluble Lie algebras having finite-dimensional maximal subalgebras, Bull. Australian Math. Soc. 11 (1974) 145-156.

The structure of certain infinite-dimensional Lie algebras, Proc. 3rd. Internat. Colloq. on Group-theoretical Methods in Physics, Marseille 1974, 474-483, Nijmegen 1975.

[with R.K.Amayo] Descending chain conditions for Lie algebras of prime characteristic, J. Algebra 35 (1975) 86-98.

[with D.A.Towers] The Frattini subalgebras of certain infinite-dimensional soluble Lie algebras, J. London Math. Soc. (2) 11 (1975) 207-215.

Finitely presented infinite-dimensional simple Lie algebras, Arch. Math. (Basel) 26 (1975) 504-507.

Conjugacy theorems for a class of locally finite Lie algebras, Compositio Math. 30 (1975) 181-210.

Chevalley-Jordan decomposition for a class of locally finite Lie algebras, Compositio Math. 33 (1976) 75-105.

The Wedderburn-Mal'cev theorems in a locally finite setting, Arch. Math. (Basel) 27 (1976) 120-122.

[with T.Poston] Thom's classification theorem — an intuitive approach, in Taylor Expansions and Catastrophes, Research Notes in Math. 7, Pitman, London 1976, 5-26.

[with T.Poston] The geometry of binary quartic forms, in Taylor Expansions and Catastrophes, Research Notes in Math. 7, Pitman, London 1976, 110-147.

Adjoint groups and the Mal'cev correspondence, Fundamenta Math. 97 (1977) 9-16.

[with S.G.Brazier] Local theorems for parasolubility, Arch. Math. (Basel) 29 (1977) 354-362.

[with R.Beck and B.Kolman] Computing the structure of a Lie algebra, in Computers in Nonassociative Rings and Algebras (eds. R.Beck and B.Kolman), Academic Press 1977, 167-188.

The minimal condition for subideals of a Lie algebra implies that every ascendant subalgebra is a subideal, Hiroshima Math. J. 9 (1979) 35-36.

Lie algebras having large Cartan subalgebras, Bull. London Math. Soc. 11 (1979) 124-128.

Subideals and serial subalgebras of Lie algebras, Hiroshima Math. J. 11 (1981) 493-498.

[with F.Aldosray] Joins of ideals of subideals of Lie algebras, Arch. Math. (Basel) 47 (1986) 222-228.

[with F.A.M.Aldosray] Lie algebras with minimal condition for centralizer ideals, Hiroshima Math. J. 19 (1989) 397-407.

[with F.A.M.Aldosray] Ascending chain conditions on special classes of ideals of Lie algebras, Hiroshima Math. J. 22 (1992) 1-13.

[with F.A.M.Aldosray] Closed ideals of Lie algebras, Hiroshima Math. J. 24 (1994) 613-625.


[with F.A.M. Aldosray] A generalised Noetherian condition for Lie algebras, Journal of Algebra and Its Applications 8 (2019) 1950146 [17 pages]; doi.org/10.1142/S0219498819501469.

[with F.A.M. Aldosray] Generalised chain conditions, prime ideals, and classes of locally finite Lie algebras, Algebra Colloquium, to appear.






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