Growth rates of algebras, II: Wiegold dichotomy
نویسندگان
چکیده
We investigate the function dA(n), which gives the size of a least size generating set for A, in the case where A has a cube term. We show that if A has a k-cube term and A is finitely generated, then dA(n) ∈ O(log(n)) if A is perfect and dA(n) ∈ O(n) if A is imperfect. When A is finite, then one may replace “Big Oh” with “Big Theta” in these estimates.
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ورودعنوان ژورنال:
- IJAC
دوره 25 شماره
صفحات -
تاریخ انتشار 2015