The Goldie conditions for Algebras with Bounded Growth
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Publication:3039507
DOI10.1112/blms/15.6.596zbMath0525.16009OpenAlexW2088497251MaRDI QIDQ3039507
Lance W. Small, Ronald S. Irving
Publication date: 1983
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/blms/15.6.596
growth functionprimitive ringGoldie rankGoldie conditionsascending chain condition for annihilatorsleft and right Goldie ring
Prime and semiprime associative rings (16N60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)
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Noncommutative graded domains with quadratic growth ⋮ Affine algebras of Gelfand-Kirillov dimension one are PI ⋮ A dichotomy result for prime algebras of Gelfand-Kirillov dimension two. ⋮ Simple algebras of Gelfand-Kirillov dimension two ⋮ Prime affine algebras of Gelfand-Kirillov dimension one
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