Geodesic
Exponential growth of codimensions of identities of algebras with unity
Sbornik. Mathematics, Tome 206 (2015) no. 10, pp. 1440-1462

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The asymptotic behaviour is studied of exponentially bounded sequences of codimensions of identities of algebras with unity. A series of algebras is constructed for which the base of the exponential increases by exactly 1 when an outer unity is adjoined to the original algebra. It is shown that the PI-exponents of unital algebras can take any value greater than 2, and the exponents of finite-dimensional unital algebras form a dense subset in the domain $[2,\infty)$. Bibliography: 34 titles.
Keywords: identities, codimensions, exponential growth. 
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     author = {M. V. Zaicev and D. Repov\v{s}},
     title = {Exponential growth of codimensions of identities of algebras with unity},
     journal = {Sbornik. Mathematics},
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     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2015_206_10_a3/}
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M. V. Zaicev; D. Repovš. Exponential growth of codimensions of identities of algebras with unity. Sbornik. Mathematics, Tome 206 (2015) no. 10, pp. 1440-1462. http://geodesic.mathdoc.fr/item/SM_2015_206_10_a3/