On regular automorphisms of algebras
Jenner, W.E. (1965)
Portugaliae mathematica
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Jenner, W.E. (1965)
Portugaliae mathematica
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Chao, Chong-Yun (1967)
Portugaliae mathematica
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Reinhard John (1976)
Colloquium Mathematicae
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F. Grandjean, E. M. Vitale (1998)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Betten, Anton, Betten, Dieter (1997)
Beiträge zur Algebra und Geometrie
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Gunnar Fløystad, Jon Eivind Vatne (2011)
Banach Center Publications
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We show that there are exactly three types of Hilbert series of Artin-Schelter regular algebras of dimension five with two generators. One of these cases (the most extreme) may not be realized by an enveloping algebra of a graded Lie algebra. This is a new phenomenon compared to lower dimensions, where all resolution types may be realized by such enveloping algebras.
D. V. Thampuran (1970)
Matematički Vesnik
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Al-Omari, Ahmad, Noorani, Mohd Salmi Md (2007)
International Journal of Mathematics and Mathematical Sciences
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Timothy Rouch (1979)
Colloquium Mathematicae
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Jacek Kuras (1987)
Colloquium Mathematicae
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S. J. Bhatt, H. V. Dedania (2001)
Studia Mathematica
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Semisimple commutative Banach algebras 𝓐 admitting exactly one uniform norm (not necessarily complete) are investigated. 𝓐 has this Unique Uniform Norm Property iff the completion U(𝓐) of 𝓐 in the spectral radius r(·) has UUNP and, for any non-zero spectral synthesis ideal ℐ of U(𝓐), ℐ ∩ 𝓐 is non-zero. 𝓐 is regular iff U(𝓐) is regular and, for any spectral synthesis ideal ℐ of 𝓐, 𝓐/ℐ has UUNP iff U(𝓐) is regular and for any spectral synthesis ideal ℐ of U(𝓐), ℐ = k(h(𝓐 ∩...
Lieven Le Bruyn, M. Van den Bergh (1996)
Mathematische Zeitschrift
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Otto Kerner (2003)
Colloquium Mathematicae
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Let H be a connected wild hereditary path algebra. We prove that if Z is a quasi-simple regular brick, and [r]Z indecomposable regular of quasi-length r and with quasi-top Z, then .