We construct a non-associative algebra A over a field of characteristic zero with the following properties: if V is the variety generated by A, then V has exponential growth but any proper subvariety of V is nilpotent. Moreover, by studying the asymptotics of the sequence of codimensions of A we deduce that exp(V) = 2
AbstractLet F be a field of characteristic zero and let A be an F-algebra. The polynomial identities...
Let V be a variety of non necessarily associative algebras over a field of characteristic zero. The ...
AbstractThe exponent exp(A) of a PI-algebra A in characteristic zero is an integer and measures the ...
We construct a non-associative algebra A over a field of characteristic zero with the following prop...
A non-nilpotent variety of algebras is almost nilpotent if any proper subvariety is nilpotent. Let t...
Let V be a variety of non necessarily associative algebras over a field of characteristic zero. The ...
Let V be a variety of non necessarily associative algebras over a field of characteristic zero. The ...
∗The first author was partially supported by MURST of Italy; the second author was par- tially suppo...
The exponent of a variety of algebras over a field of characteristic zero has been recently proved t...
In this paper we prove that if A is any algebra with involution * satisfying a non-trivial polynomia...
AbstractThe exponent of a variety of algebras over a field of characteristic zero has been recently ...
We deal with varieties of nonassociative algebras having polynomial growth of codimensions. We descr...
Let V be a variety of non necessarily associative algebras over a field of characteristic zero. The...
2010 Mathematics Subject Classification: 16R10, 16W55, 16P90.Let V^gr be a variety of associative su...
AbstractLetAbe an associative PI-algebra over a fieldFof characteristic zero. By studying the expone...
AbstractLet F be a field of characteristic zero and let A be an F-algebra. The polynomial identities...
Let V be a variety of non necessarily associative algebras over a field of characteristic zero. The ...
AbstractThe exponent exp(A) of a PI-algebra A in characteristic zero is an integer and measures the ...
We construct a non-associative algebra A over a field of characteristic zero with the following prop...
A non-nilpotent variety of algebras is almost nilpotent if any proper subvariety is nilpotent. Let t...
Let V be a variety of non necessarily associative algebras over a field of characteristic zero. The ...
Let V be a variety of non necessarily associative algebras over a field of characteristic zero. The ...
∗The first author was partially supported by MURST of Italy; the second author was par- tially suppo...
The exponent of a variety of algebras over a field of characteristic zero has been recently proved t...
In this paper we prove that if A is any algebra with involution * satisfying a non-trivial polynomia...
AbstractThe exponent of a variety of algebras over a field of characteristic zero has been recently ...
We deal with varieties of nonassociative algebras having polynomial growth of codimensions. We descr...
Let V be a variety of non necessarily associative algebras over a field of characteristic zero. The...
2010 Mathematics Subject Classification: 16R10, 16W55, 16P90.Let V^gr be a variety of associative su...
AbstractLetAbe an associative PI-algebra over a fieldFof characteristic zero. By studying the expone...
AbstractLet F be a field of characteristic zero and let A be an F-algebra. The polynomial identities...
Let V be a variety of non necessarily associative algebras over a field of characteristic zero. The ...
AbstractThe exponent exp(A) of a PI-algebra A in characteristic zero is an integer and measures the ...
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