The authors give a simple construction of a prime monomial algebra on two generators over an arbitrary field which has quadratic growth and is neither semiprimitive nor PI. This answers a question raised in [J. P. Bell, J. Algebra 263 (2003), no. 1, 159--175; MR1974084 (2004d:16042)]
Giambruno, A. (2007). Smoktunowicz, Agata; Vishne, Uzi An affine prime non-semiprimitive monomial algebra with quadratic growth, Adv. in Appl. Math. 37 (2006), no. 4, 511--513..
Smoktunowicz, Agata; Vishne, Uzi An affine prime non-semiprimitive monomial algebra with quadratic growth, Adv. in Appl. Math. 37 (2006), no. 4, 511--513.
GIAMBRUNO, Antonino
2007-01-01
Abstract
The authors give a simple construction of a prime monomial algebra on two generators over an arbitrary field which has quadratic growth and is neither semiprimitive nor PI. This answers a question raised in [J. P. Bell, J. Algebra 263 (2003), no. 1, 159--175; MR1974084 (2004d:16042)]
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