{{one source |date=May 2024}} In algebra, an '''elliptic algebra''' is a certain regular algebra of a Gelfand–Kirillov dimension three (quantum polynomial ring in three variables) that corresponds to a cubic divisor in the projective space '''P'''<sup>2</sup>. If the cubic divisor happens to be an elliptic curve, then the algebra is called a Sklyanin algebra. The notion is studied in the context of noncommutative projective geometry.
== References == *{{citation |url=https://dspace.mit.edu/bitstream/handle/1721.1/28088/31369741-MIT.pdf |title=Modules over regular algebras and quantum planes |first=Kaushal |last=Ajitabh |year=1994 |type=Ph.D. thesis}}
Category:Algebraic structures Category:Algebraic logic
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