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Matematicheskie Zametki, 2018, Volume 104, Issue 5, Pages 737–744
DOI: https://doi.org/10.4213/mzm11767 (Mi mzm11767) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Global Homological Dimension of Radical Banach Algebras of Power Series

Yu. V. Selivanov

Moscow Aviation Institute (National Research University)
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DOI: https://doi.org/10.4213/mzm11767
Abstract: 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, homological dimension, radical Banach algebra of power series, strongly noncomplemented subspace, right multiplier module.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-08392
This work was supported by the Russian Foundation for Basic Research under grant 15-01-08392.
Received: 21.08.2017
Revised: 16.12.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 5, Pages 720–726
DOI: https://doi.org/10.1134/S0001434618110135
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: Yu. V. Selivanov, “Global Homological Dimension of Radical Banach Algebras of Power Series”, Mat. Zametki, 104:5 (2018), 737–744; Math. Notes, 104:5 (2018), 720–726
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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