algebraic cone; monoid action; group action; orbit; action with unique fixed point; algebra automorphism; stable ideal; irreducible algebraic variety Sklyanin algebras; graded noncommutative algebras; regularity; Yang- Baxter equation; elliptic curve; line bundle; survey; irreducible finite dimensional \(A\)-modules; category of finitely generated graded modules; point modules; cyclic modules; Hilbert series; projective variety; irreducible modules 