Some module cohomological properties of Banach algebras

Elham Ilka; Amin Mahmoodi; Abasalt Bodaghi

Mathematica Bohemica (2020)

  • Volume: 145, Issue: 2, page 127-140
  • ISSN: 0862-7959

Abstract

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We find some relations between module biprojectivity and module biflatness of Banach algebras 𝒜 and ℬ and their projective tensor product 𝒜 ⊗ ^ ℬ . For some semigroups S , we study module biprojectivity and module biflatness of semigroup algebras l 1 ( S ) .

How to cite

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Ilka, Elham, Mahmoodi, Amin, and Bodaghi, Abasalt. "Some module cohomological properties of Banach algebras." Mathematica Bohemica 145.2 (2020): 127-140. <http://eudml.org/doc/296962>.

@article{Ilka2020,
abstract = {We find some relations between module biprojectivity and module biflatness of Banach algebras $\mathcal \{A\}$ and $\mathcal \{B\}$ and their projective tensor product $\mathcal \{A\} \mathbin \{\widehat\{\otimes \}\}\mathcal \{B\}$. For some semigroups $S$, we study module biprojectivity and module biflatness of semigroup algebras $l^\{1\}(S)$.},
author = {Ilka, Elham, Mahmoodi, Amin, Bodaghi, Abasalt},
journal = {Mathematica Bohemica},
keywords = {module amenable; module biflat; module biprojective; semigroup algebra},
language = {eng},
number = {2},
pages = {127-140},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some module cohomological properties of Banach algebras},
url = {http://eudml.org/doc/296962},
volume = {145},
year = {2020},
}

TY - JOUR
AU - Ilka, Elham
AU - Mahmoodi, Amin
AU - Bodaghi, Abasalt
TI - Some module cohomological properties of Banach algebras
JO - Mathematica Bohemica
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 145
IS - 2
SP - 127
EP - 140
AB - We find some relations between module biprojectivity and module biflatness of Banach algebras $\mathcal {A}$ and $\mathcal {B}$ and their projective tensor product $\mathcal {A} \mathbin {\widehat{\otimes }}\mathcal {B}$. For some semigroups $S$, we study module biprojectivity and module biflatness of semigroup algebras $l^{1}(S)$.
LA - eng
KW - module amenable; module biflat; module biprojective; semigroup algebra
UR - http://eudml.org/doc/296962
ER -

References

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