Open AccessJournal Article
Biflatness of certain semigroup algebras
M. Essmaili,Alireza Medghalchi +1 more
TLDR
In this paper, the authors consider biatness of certain classes of band semigroup algebras and give a necessary condition for a band semi-group algebra to be biat and show that this condition is not sufficient.Abstract:
In the present paper, we consider biatness of certain classes of semigroup algebras. Indeed, we give a necessary condi- tion for a band semigroup algebra to be biat and show that this condition is not sucient. Also, for a certain class of inverse semi- groups S; we show that the biatness of ' 1 (S) 00 is equivalent to the biprojectivity of ' 1 (S).read more
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Module Biflatness of the second dual of Banach algebras
Abasalt Bodaghi,Ali Jabbari +1 more
TL;DR: In this article, it was shown that the module amenability of the second dual of the Arens product necessitates the module biflatness of the first dual of a Banach algebra.
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On pseudo-amenability of Beurling algebras
Kobra Oustad,Amin Mahmoodi +1 more
TL;DR: Amenability and pseudo-amenability of left (right) zero semigroup or it is arectangular band semigroup are characterized in this paper, where equivalence conditions toamenability are provided, where ǫ S $ is aband semigroup.
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Some module cohomological properties of Banach algebras
TL;DR: In this article, the authors find some relations between module biprojectivity and module biflatness of Banach algebras A and B and their projective tensor product A ⊗B.
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On pseudo-amenability of Beurling algebras
Kobra Oustad,Amin Mahmoodi +1 more
TL;DR: Amenability and pseudo-amenability of left (right) zero semigroup or rectangular band semigroup are characterized in this article. But the equivalence conditions to amenability are not defined.
References
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Amenability of inverse semigroups and their semigroup algebras
J. Duncan,I. Namioka +1 more
TL;DR: In this article, the authors investigated the relationship between group algebra and semigroup amenability for inverse semigroups S and obtained partial results for S with infinite sets of idempotent elements.
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The ₁-algebra of a commutative semigroup
TL;DR: In this paper, the authors introduce harmonic analysis on discrete commutative semigroups and show that the functionals making up the algebras under study have obvious representations as integrals with respect to countably additive, totally finite measures that vanish except on countable sets.
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Biflatness of semigroup algebras
TL;DR: In this paper, the authors studied the biflatness of the convolution algebra l 1(S) for a semigroup S such that the canonical partial ordering on the idempotents must be uniformly locally finite.
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Amenability constants for semilattice algebras
TL;DR: In this paper, the amenability constant of a commutative idempotent semigroup S, a semilattice, was shown to be of the form 4n+1.