Poincaré-Birkhoff-Witt Deformations of a Class ofN-Homogeneous Algebras

2014 ◽  
Vol 43 (4) ◽  
pp. 1449-1463
Author(s):  
Junru Si ◽  
Jiafeng Lü
Keyword(s):  
Homogeneous Algebras

Homogeneous algebras are functionally complete

1980 ◽  
Vol 11 (1) ◽  
pp. 149-158 ◽  
Author(s):  
B. Csákány
Keyword(s):  
Homogeneous Algebras

scholarly journals A decomposition theorem for homogeneous algebras

2002 ◽  
Vol 72 (1) ◽  
pp. 47-56 ◽  
Author(s):  
L. G. Sweet ◽  
J. A. Macdougall
Keyword(s):  
Nonzero Element ◽  
Decomposition Theorem ◽  
Small Dimension ◽  
Infinite Field ◽  
Left Multiplication ◽  
One Dimensional ◽  
Direct Sum ◽  
Homogeneous Algebras ◽  
The One ◽  
Homogeneous Algebra

AbstractAn algebra A is homogeneous if the automorphism group of A acts transitively on the one dimensional subspaces of A. Suppose A is a homogeneous algebra over an infinite field k. Let La denote left multiplication by any nonzero element a ∈ A. Several results are proved concerning the structure of A in terms of La. In particular, it is shown that A decomposes as the direct sum A = ker La Im La. These results are then successfully applied to the problem of classifying the infinite homogeneous algebras of small dimension.

Regularity functions for homogeneous algebras

2001 ◽  
Vol 76 (2) ◽  
pp. 100-108 ◽  
Author(s):  
J. Herzog ◽  
G. Restuccia
Keyword(s):  
Homogeneous Algebras

scholarly journals Homogeneous algebras

2003 ◽  
Vol 261 (1) ◽  
pp. 172-185 ◽  
Author(s):  
Roland Berger ◽  
Michel Dubois-Violette ◽  
Marc Wambst
Keyword(s):  
Homogeneous Algebras

Universal homogeneous algebras

1971 ◽  
Vol 1 (1) ◽  
pp. 254-260 ◽  
Author(s):  
D. B. Smith
Keyword(s):  
Homogeneous Algebras

scholarly journals Homogeneous algebras on the circle. I. Ideals of analytic functions

1972 ◽  
Vol 22 (3) ◽  
pp. 1-19 ◽  
Author(s):  
Colin Bennett ◽  
John E. Gilbert
Keyword(s):  
Analytic Functions ◽  
Homogeneous Algebras

scholarly journals On homogeneous algebras

1975 ◽  
Vol 59 (2) ◽  
pp. 585-594 ◽  
Author(s):  
Lowell Sweet
Keyword(s):  
Homogeneous Algebras

scholarly journals Homogeneous algebras are simple

1973 ◽  
Vol 79 (3) ◽  
pp. 217-220 ◽  
Author(s):  
B. Ganter ◽  
Jerzy Płonka ◽  
H. Werner
Keyword(s):  
Homogeneous Algebras

scholarly journals p-automorphicp-groups and homogeneous algebras

1968 ◽  
Vol 26 (3) ◽  
pp. 447-453
Author(s):  
Larry Dornhoff
Keyword(s):  
Homogeneous Algebras
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