On the depth and regularity of the symmetric algebra.
Herzog, Jürgen, Restuccia, Gaetana, Rinaldo, Giancarlo (2006)
Beiträge zur Algebra und Geometrie
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Herzog, Jürgen, Restuccia, Gaetana, Rinaldo, Giancarlo (2006)
Beiträge zur Algebra und Geometrie
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Enriquez, Benjamin (2003)
Journal of Lie Theory
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Garsia, A.M., Wallach, N.R. (2003)
Séminaire Lotharingien de Combinatoire [electronic only]
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Roitman, Michael (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Brini, Andrea (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
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Musson, Ian M., Pinczon, Georges, Ushirobira, Rosane (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Benjamin, E., Bresinsky, H. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Achilles, Rüdiger, Stückrad, Jürgen (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Agata Smoktunowicz (2005)
Open Mathematics
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Let F be a field, and let R be a finitely-generated F-algebra, which is a domain with quadratic growth. It is shown that either the center of R is a finitely-generated F-algebra or R satisfies a polynomial identity (is PI) or else R is algebraic over F. Let r ∈ R be not algebraic over F and let C be the centralizer of r. It is shown that either the quotient ring of C is a finitely-generated division algebra of Gelfand-Kirillov dimension 1 or R is PI.
Kawamoto, Naoki, Mitsukawa, Atsushi, Nam, Ki-Bong, Wang, Moon-Ok (2003)
Journal of Lie Theory
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Jerzy Białkowski (2004)
Open Mathematics
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Ragusa, Alfio, Zappalà, Giuseppe (2003)
Beiträge zur Algebra und Geometrie
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