On <Emphasis Type="Italic">T</Emphasis> -spaces and relations in relatively free,lie nilpotent,associative algebras |
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Authors: | A V Grishin L M Tsybulya A A Shokola |
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Institution: | 1.Moscow Pedagogical State University,Moscow,Russia |
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Abstract: | The purpose of this work is to obtain the commutator relations and Frobenius relations in a relatively free algebra F
(l) specified by the identity x
1
, . . . , x
l
] = 0 over a field of characteristic p > 0. These relations for l > 3 are analogous to the relations in the algebra F
(3) and are applied to the T-spaces in the algebra F
(l). In order to study the relations in F
(l) in more detail, we construct a model algebra analogous to the Grassmann algebra. |
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Keywords: | |
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