Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 35-39
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A. N. Krichevets. On a $C(\Omega)$-algebra of small dimension two and its tensor powers. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 35-39. http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a9/
@article{VMUMM_1982_3_a9,
author = {A. N. Krichevets},
title = {On a $C(\Omega)$-algebra of small dimension two and its tensor powers},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {35--39},
year = {1982},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a9/}
}
TY - JOUR
AU - A. N. Krichevets
TI - On a $C(\Omega)$-algebra of small dimension two and its tensor powers
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 35
EP - 39
IS - 3
UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a9/
LA - ru
ID - VMUMM_1982_3_a9
ER -
%0 Journal Article
%A A. N. Krichevets
%T On a $C(\Omega)$-algebra of small dimension two and its tensor powers
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 35-39
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a9/
%G ru
%F VMUMM_1982_3_a9
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.
