Exceptional prime alternative algebras.
Pchelintsev, S.V. (2007)
Sibirskij Matematicheskij Zhurnal
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Pchelintsev, S.V. (2007)
Sibirskij Matematicheskij Zhurnal
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Bachman, David, Schleimer, Saul, Sedgwick, Eric (2006)
Algebraic & Geometric Topology
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Mazurov, V. D. (2003)
Sibirskij Matematicheskij Zhurnal
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Denne, Elizabeth, Diao, Yuanan, Sullivan, John M. (2006)
Geometry & Topology
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Toshihiro Yamaguchi, Katsuhiko Kuribayashi (1997)
Fundamenta Mathematicae
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Let X be a simply connected space and LX the space of free loops on X. We determine the mod p cohomology algebra of LX when the mod p cohomology of X is generated by one element or is an exterior algebra on two generators. We also provide lower bounds on the dimensions of the Hodge decomposition factors of the rational cohomology of LX when the rational cohomology of X is a graded complete intersection algebra. The key to both of these results is the identification of an important subalgebra...
Yann Bugeaud (1998)
Acta Arithmetica
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John R. Burke (1995)
Acta Arithmetica
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Flávio Coelho, Andrzej Skowroński (1996)
Fundamenta Mathematicae
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An artin algebra A over a commutative artin ring R is called quasitilted if gl.dim A ≤ 2 and for each indecomposable finitely generated A-module M we have pd M ≤ 1 or id M ≤ 1. In [11] several characterizations of quasitilted algebras were proven. We investigate the structure and homological properties of connected components in the Auslander-Reiten quiver of a quasitilted algebra A.
Calegari, Danny, Freedman, Michael H. (2006)
Geometry & Topology
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P. Gartside, E. Reznichenko (2000)
Fundamenta Mathematicae
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"Near metric" properties of the space of continuous real-valued functions on a space X with the compact-open topology or with the topology of pointwise convergence are examined. In particular, it is investigated when these spaces are stratifiable or cometrisable.
Jeffrey Lin Thunder (1994)
Acta Arithmetica
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