THE WORD PROBLEM FOR SOME VARIETIES OF SOLVABLE LIE ALGEBRAS
1994 ◽
Vol 04
(03)
◽
pp. 481-491
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The word problem is said to be solvable in a variety of Lie algebras if it is solvable in every algebra, finitely presented in this variety. Let [Formula: see text] denote the variety of (2-step nilpotent)-by-abelian Lie algebra and [Formula: see text] the variety of abelian-by-(2-step nilpotent) Lie algebras. It is proved that the word problem is unsolvable in the “interval” of varieties containing the variety [Formula: see text] (of centre-by-[Formula: see text] Lie algebras over a field of characteristic zero), and contained in the variety [Formula: see text].
1954 ◽
Vol 64
(2)
◽
pp. 200-208
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2014 ◽
Vol 14
(02)
◽
pp. 1550024
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2017 ◽
Vol 16
(11)
◽
pp. 1750205
2007 ◽
Vol 17
(03)
◽
pp. 527-555
◽
2003 ◽
Vol 12
(05)
◽
pp. 589-604
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