IDENTITIES IN THE VARIETY OF CENTER-BY-${\mathfrak R}_2 {\mathfrak U}$ LIE ALGEBRAS
Copyright policy )IDENTITIES IN THE VARIETY OF CENTER-BY-${\mathfrak R}_2 {\mathfrak U}$ LIE ALGEBRAS
Let \(V\) be the variety of center by 2-nilpotent-by-abelian Lie algebras; \(V\) is defined by the identity \((x_ 1,x_ 2)(x_ 3,x_ 4)(x_ 5,x_ 6)x_ 7=0\). When the base field is of characteristic zero the authors establish that every proper subvariety of \(V\) satisfies identities of a given form. As a corollary they obtain that every subvariety of \(V\) with solvable word problem admits some identities. These identities have been given explicitly.
- McGill University Canada
Solvable, nilpotent (super)algebras, word problem, variety of center by 2-nilpotent- by-abelian Lie algebras, Identities, free Lie (super)algebras, Word problems (aspects of algebraic structures), Rings with polynomial identity, polynomial identity, local finiteness, characteristic zero, Word problems, etc. in computability and recursion theory, identities
Solvable, nilpotent (super)algebras, word problem, variety of center by 2-nilpotent- by-abelian Lie algebras, Identities, free Lie (super)algebras, Word problems (aspects of algebraic structures), Rings with polynomial identity, polynomial identity, local finiteness, characteristic zero, Word problems, etc. in computability and recursion theory, identities
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