Original language | English |
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Pages (from-to) | 777-800 |
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Number of pages | 24 |
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Journal | Algebras and representation theory |
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Volume | 18 |
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Issue number | 3 |
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DOIs | |
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Publication status | Published - 1 Jun 2015 |
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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.
ID: 23699340