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arXiv · 1209.3531

Radicals of some semigroup algebras

H. G. Dales·D. Strauss·Y. Zelenyuk·Yu. Zelenyuk
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Abstract

In this paper we seek to determine the Jacobson radical of certain algebras based on semigroups, and in particular on the semigroups $(\beta S, \Box)$, where $S$ is a cancellative, countable, abelian semigroup and $\beta S$ is its Stone--\v{C}ech semigroup compactification. In particular, we wish to determine the radical of $\ell^{ 1}(\beta \N)$.

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H. G. Dales, D. Strauss, Y. Zelenyuk, Yu. Zelenyuk. 2012-09-17. Radicals of some semigroup algebras. https://arxiv.org/abs/1209.3531

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