量子化Banach代数的一个全局维数定理

Q2 Mathematics

Transactions of the Moscow Mathematical Society Pub Date : 2009-01-01 DOI:10.1090/S0077-1554-09-00174-5

Trudy Moskov, N. Volosova

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引用次数: 1

摘要

。证明了具有无穷谱的可交换量子化(h⊗和o⊗)代数，其左、右全局同调维的最大值严格大于1。这个结果是a. Ya的全局维数定理的一个量子类比。Helemskii。

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A global dimension theorem for quantized Banach algebras

. We prove that for a commutative quantized ( h ⊗ and o ⊗ ) algebra with inﬁnite spectrum, the maximum of its left and right global homological dimensions and, as a consequence, its homological bidimension are strictly greater than one. This result is a quantum analog of the global dimension theorem of A. Ya. Helemskii.

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Transactions of the Moscow Mathematical Society Mathematics-Mathematics (miscellaneous)

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期刊介绍： This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.