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Impossibility of defining the class of Lo-algebras by means of identities

✍ Scribed by V. N. Grishin


Publisher
SP MAIK Nauka/Interperiodica
Year
1985
Tongue
English
Weight
512 KB
Volume
38
Category
Article
ISSN
0001-4346

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Let q 2 be an integer and let w be a block of 0, ..., q&1 of finite length. For a nonnegative integer n, let e(w; n) denote the number of occurrences of w in the q-adic expansion of n. Define f (w; z)= n 0 e(w; n) z n . We give necessary and sufficient conditions for the algebraic independence of fu