Global Homological Dimension of Radical Banach Algebras of Power Series

被引：0
作者：
Yu. V. Selivanov
机构：
[1] Moscow Aviation Institute (National Research University),
来源：
Mathematical Notes | 2018年 / 104卷
关键词：
cohomology of Banach algebras; homological dimension; radical Banach algebra of power series; strongly noncomplemented subspace; right multiplier module;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：720 / 726
页数：6
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  • [11] Selivanov Yu. V.(1994)The global dimension theorem for weighted convolution algebras Uspekhi Mat. Nauk 49 223-224
  • [12] Selivanov Yu. V.(1993)Strongly non-complemented subspaces of Banach spaces and the homological dimension of Banach modules UspekhiMat. Nauk 48 237-238
  • [13] Selivanov Yu. V.(1993)A problem in the geometry of Banach spaces Math. Scand. 72 85-98
  • [14] Selivanov Yu. V.(2004)Computing and estimating the global dimension in certain classes of Banach algebras Banach Algebras and Their Applications, Contemp. Math. 363 321-333
  • [15] Selivanov Yu. V.(undefined)Classes of Banach algebras of global dimension infinity undefined undefined undefined-undefined
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