Quasi-free algebra

id: quasi-free-algebra-283-1682560
title: Quasi-free algebra
text: In abstract algebra, a quasi-free algebra is an associative algebra that satisfies the lifting property similar to that of a formally smooth algebra in commutative algebra. The notion was introduced by Cuntz and Quillen for the applications to cyclic homology. A quasi-free algebra generalizes a free algebra, as well as the coordinate ring of a smooth affine complex curve. Because of the latter generalization, a quasi-free algebra can be thought of as signifying smoothness on a noncommutative spa
brand slug: wiki
category slug: encyclopedia
description: Associative algebra with lifting property
original url: https://en.wikipedia.org/wiki/Quasi-free_algebra
date created:
date modified: 2023-08-13T10:26:53Z
main entity: {"identifier":"Q117375236","url":"https://www.wikidata.org/entity/Q117375236"}
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fields total: 13
integrity: 14

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