Some module cohomological properties of Banach algebras
Mathematica Bohemica, Tome 145 (2020) no. 2, pp. 127-140
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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 $l^{1}(S)$.
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 $l^{1}(S)$.
DOI :
10.21136/MB.2019.0055-17
Classification :
16E40, 46H20, 46H25
Keywords: module amenable; module biflat; module biprojective; semigroup algebra
Keywords: module amenable; module biflat; module biprojective; semigroup algebra
@article{10_21136_MB_2019_0055_17,
author = {Ilka, Elham and Mahmoodi, Amin and Bodaghi, Abasalt},
title = {Some module cohomological properties of {Banach} algebras},
journal = {Mathematica Bohemica},
pages = {127--140},
year = {2020},
volume = {145},
number = {2},
doi = {10.21136/MB.2019.0055-17},
mrnumber = {4221825},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0055-17/}
}
TY - JOUR AU - Ilka, Elham AU - Mahmoodi, Amin AU - Bodaghi, Abasalt TI - Some module cohomological properties of Banach algebras JO - Mathematica Bohemica PY - 2020 SP - 127 EP - 140 VL - 145 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0055-17/ DO - 10.21136/MB.2019.0055-17 LA - en ID - 10_21136_MB_2019_0055_17 ER -
%0 Journal Article %A Ilka, Elham %A Mahmoodi, Amin %A Bodaghi, Abasalt %T Some module cohomological properties of Banach algebras %J Mathematica Bohemica %D 2020 %P 127-140 %V 145 %N 2 %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0055-17/ %R 10.21136/MB.2019.0055-17 %G en %F 10_21136_MB_2019_0055_17
Ilka, Elham; Mahmoodi, Amin; Bodaghi, Abasalt. Some module cohomological properties of Banach algebras. Mathematica Bohemica, Tome 145 (2020) no. 2, pp. 127-140. doi: 10.21136/MB.2019.0055-17
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