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Mathematics

On a $C(\Omega)$-algebra of small dimension two and its tensor powers

A. N. Krichevets


Abstract: We build an example of a maximal ideal in the algebra of all continuous functions on a compact whose homological dimension is $1$. It is shown that the small global dimension of this algebra is $2$. We then compute the small global dimensions of its tensor powers.

UDC: 513.88

Received: 10.06.1981

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