Weak Amenability of Discrete Semigroup Algebras

1997 ◽  
Vol 55 (2) ◽  
pp. 196-205 ◽  
Author(s):  
T.D. Blackmore
Keyword(s):  
Semigroup Algebras ◽  
Discrete Semigroup ◽  
Weak Amenability

On n-weak amenability of Rees semigroup algebras

2008 ◽  
Vol 118 (4) ◽  
pp. 547-555 ◽  
Author(s):  
O. T. Mewomo
Keyword(s):  
Semigroup Algebras ◽  
Weak Amenability

Spectra in Some Inverse Semigroup Algebras

2004 ◽  
Vol 104 (2) ◽  
pp. 211-218 ◽  
Author(s):  
M. J. Crabb ◽  
J. Duncan ◽  
C. M. McGregor
Keyword(s):  
Inverse Semigroup ◽  
Semigroup Algebras

Short Generating Functions for some Semigroup Algebras

10.37236/1729 ◽  
2003 ◽  
Vol 10 (1) ◽  
Author(s):  
Graham Denham
Keyword(s):  
Rational Function ◽  
Generating Functions ◽  
Hilbert Series ◽  
Simple Expression ◽  
Arbitrary Field ◽  
Graded Algebra ◽  
Semigroup Algebras ◽  
Positive Integers

Let $a_1,\ldots,a_n$ be distinct, positive integers with $(a_1,\ldots,a_n)=1$, and let k be an arbitrary field. Let $H(a_1,\ldots,a_n;z)$ denote the Hilbert series of the graded algebra k$[t^{a_1},t^{a_2},\ldots,t^{a_n}]$. We show that, when $n=3$, this rational function has a simple expression in terms of $a_1,a_2,a_3$; in particular, the numerator has at most six terms. By way of contrast, it is known that no such expression exists for any $n\geq4$.

scholarly journals Weak amenability of Lie groups made discrete

2018 ◽  
Vol 297 (1) ◽  
pp. 101-116
Author(s):  
Søren Knudby
Keyword(s):  
Lie Groups ◽  
Weak Amenability

scholarly journals Homological dimension in semigroup algebras

1971 ◽  
Vol 18 (3) ◽  
pp. 404-413 ◽  
Author(s):  
William R Nico
Keyword(s):  
Homological Dimension ◽  
Semigroup Algebras
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