Geodesic
Global Homological Dimension of Radical Banach Algebras of Power Series
Matematičeskie zametki, Tome 104 (2018) no. 5, pp. 737-744

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We show that the global dimension of a broad class of radical Banach algebras of power series is at least $3$ and obtain applications to cohomology groups.
Keywords: cohomology of Banach algebras, radical Banach algebra of power series, strongly noncomplemented subspace, right multiplier module.
Mots-clés : homological dimension 
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     author = {Yu. V. Selivanov},
     title = {Global {Homological} {Dimension} of {Radical} {Banach} {Algebras} of {Power} {Series}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {737--744},
     publisher = {mathdoc},
     volume = {104},
     number = {5},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_5_a10/}
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Yu. V. Selivanov. Global Homological Dimension of Radical Banach Algebras of Power Series. Matematičeskie zametki, Tome 104 (2018) no. 5, pp. 737-744. http://geodesic.mathdoc.fr/item/MZM_2018_104_5_a10/