Amenability Modulo an Ideal of Second Duals of Semigroup Algebras
Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P. O. Box 13185/768, Tehran, Iran
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Author to whom correspondence should be addressed.
Academic Editor: Hvedri Inassaridze
Received: 22 May 2016 / Revised: 27 August 2016 / Accepted: 2 September 2016 / Published: 13 September 2016
The aim of this paper is to investigate the amenability modulo, an ideal of Banach algebras with emphasis on applications to homological algebras. In doing so, we show that amenability modulo, an ideal of
implies amenability modulo, an ideal of A
. Finally, for a large class of semigroups, we prove that
is amenable modulo
if and only if an appropriate group homomorphic image of S
is finite, where
is the closed ideal induced by the least group congruence
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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MDPI and ACS Style
Rahimi, H.; Nabizadeh, K. Amenability Modulo an Ideal of Second Duals of Semigroup Algebras. Mathematics 2016, 4, 55.
Rahimi H, Nabizadeh K. Amenability Modulo an Ideal of Second Duals of Semigroup Algebras. Mathematics. 2016; 4(3):55.
Rahimi, Hamidreza; Nabizadeh, Khalil. 2016. "Amenability Modulo an Ideal of Second Duals of Semigroup Algebras." Mathematics 4, no. 3: 55.
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