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## Abstract / Description of output

In this paper we provide some results regarding affine, prime, Z-graded algebras R=⨁i∈ZRi generated by elements with degrees 1,−1 and 0, with R 0 finite-dimensional. The results are as follows. These algebras have a classical Krull dimension when they have quadratic growth. If R k ≠0 for almost all k then R is semiprimitive. If in addition R has GK dimension less than 3 then R is either primitive or PI. The tensor product of an arbitrary Brown-McCoy radical algebra of Gelfand Kirillov dimension less than three and any other algebra is Brown-McCoy radical.

Original language | English |
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Pages (from-to) | 777-800 |

Number of pages | 24 |

Journal | Algebras and Representation Theory |

Volume | 18 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 Jun 2015 |

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Dive into the research topics of 'Chains of Prime Ideals and Primitivity of ℤ -Graded Algebras'. Together they form a unique fingerprint.## Projects

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