The Bochner–Schoenberg–Eberlein Property for Totally Ordered Semigroup Algebras

2015 ◽  
Vol 22 (6) ◽  
pp. 1225-1234 ◽  
Author(s):  
Zeinab Kamali ◽  
Mahmood Lashkarizadeh Bami
Keyword(s):  
Ordered Semigroup ◽  
Semigroup Algebras

scholarly journals Radical of weakly ordered semigroup algebras

2008 ◽  
Vol 28 (1) ◽  
pp. 231-234 ◽  
Author(s):  
M. Schocker
Keyword(s):  
Ordered Semigroup ◽  
Semigroup Algebras

Quiver approach to some ordered semigroup algebras

2017 ◽  
Vol 46 (1) ◽  
pp. 51-61
Author(s):  
Haiyan Zhu ◽  
Fang Li
Keyword(s):  
Ordered Semigroup ◽  
Semigroup Algebras

Derivations from Totally Ordered Semigroup Algebras into their Duals

1997 ◽  
Vol 40 (2) ◽  
pp. 133-142
Author(s):  
T. D. Blackmore
Keyword(s):  
Ordered Set ◽  
Semigroup Algebra ◽  
Ordered Semigroup ◽  
Semigroup Algebras ◽  
Continuous Part ◽  
Locally Compact ◽  
Dual Module ◽  
Totally Ordered Set

AbstractFor a well-behaved measure μ, on a locally compact totally ordered set X, with continuous part μc, we make Lp (X, μc) into a commutative Banach bimodule over the totally ordered semigroup algebra Lp (X, μ), in such a way that the natural surjection from the algebra to the module is a bounded derivation. This gives rise to bounded derivations from Lp (X, μ) into its dual module and in particular shows that if μc is not identically zero then Lp (X, μ) is not weakly amenable. We show that all bounded derivations from L1 (X, μ) into its dual module arise in this way and also describe all bounded derivations from Lp(X, μ) into its dual for 1 < p < ∞ the case that X is compact and μ continuous.

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 Homological dimension in semigroup algebras

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

scholarly journals Coefficient rings of numerical semigroup algebras

2021 ◽  
Author(s):  
I-Chiau Huang ◽  
Raheleh Jafari
Keyword(s):  
Numerical Semigroup ◽  
Semigroup Algebras

scholarly journals Module amenability of the second dual and module topological center of semigroup algebras

2010 ◽  
Vol 80 (2) ◽  
pp. 302-312 ◽  
Author(s):  
Massoud Amini ◽  
Abasalt Bodaghi ◽  
Davood Ebrahimi Bagha
Keyword(s):  
Semigroup Algebras ◽  
Topological Center ◽  
Module Amenability ◽  
Second Dual

scholarly journals Topologically left invariant means on semigroup algebras

2005 ◽  
Vol 115 (4) ◽  
pp. 453-459 ◽  
Author(s):  
Ali Ghaffari
Keyword(s):  
Semigroup Algebras ◽  
Invariant Means
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