Generic algebras

1982 ◽  
pp. 96-117 ◽  
Author(s):  
David J. Saltman
Keyword(s):  
Generic Algebras

scholarly journals Generic algebras and iterated Hochschild homology

2001 ◽  
Vol 162 (2-3) ◽  
pp. 337-357 ◽  
Author(s):  
Frédéric Patras
Keyword(s):  
Hochschild Homology ◽  
Generic Algebras

Generic algebras

1996 ◽  
Vol 1 (1-2) ◽  
pp. 127-151 ◽  
Author(s):  
E. A. Tevelev
Keyword(s):  
Generic Algebras

scholarly journals The centre of generic algebras of small PI algebras

2013 ◽  
Vol 375 ◽  
pp. 109-120 ◽  
Author(s):  
Plamen Koshlukov ◽  
Thiago Castilho de Mello
Keyword(s):  
Generic Algebras

Torsion in CH2 of Severi-Brauer varieties and indecomposability of generic algebras

1995 ◽  
Vol 88 (1) ◽  
pp. 109-117 ◽  
Author(s):  
Nikita A. Karpenko
Keyword(s):  
Generic Algebras

scholarly journals Centers of generic algebras with involution

2005 ◽  
Vol 294 (1) ◽  
pp. 41-50 ◽  
Author(s):  
Esther Beneish
Keyword(s):  
Generic Algebras

Generic Algebras

1947 ◽  
Vol 69 (2) ◽  
pp. 333
Author(s):  
W. J. R. Crosby
Keyword(s):  
Generic Algebras

Erratum to "Generic Algebras"

1986 ◽  
Vol 295 (1) ◽  
pp. 429
Author(s):  
John Isbell
Keyword(s):  
Generic Algebras

scholarly journals The Golod-Shafarevich inequality for Hilbert series of quadratic algebras and the Anick conjecture

2011 ◽  
Vol 141 (3) ◽  
pp. 609-629 ◽  
Author(s):  
Natalia Iyudu ◽  
Stanislav Shkarin
Keyword(s):  
Commutative Algebra ◽  
Hilbert Series ◽  
Infinite Field ◽  
Asymptotic Results ◽  
Quadratic Algebras ◽  
Princeton University ◽  
Number Of Generators ◽  
Finite Dimensional ◽  
Generic Algebra ◽  
Generic Algebras

We study the question of whether the famous Golod-Shafarevich estimate, which gives a lower bound for the Hilbert series of a (non-commutative) algebra, is attained. This question was considered by Anick in his 1983 paper, ‘Generic algebras and CW-complexes’ (Princeton University Press), where he proved that the estimate is attained for the number of quadratic relations d ≤ ¼n2 and d ≥ ½n2, and conjectured that it is the case for any number of quadratic relations. The particular point where the number of relations is equal to ½n(n – 1) was addressed by Vershik. He conjectured that a generic algebra with this number of relations is finite dimensional.We prove that over any infinite field, the Anick conjecture holds for d ≥ (n2 + n) and an arbitrary number of generators n, and confirm the Vershik conjecture over any field of characteristic 0. We give also a series of related asymptotic results.

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