The coordinate ring of an n-dimensional sphere and some examples of differentially simple algebras

Author(s)

Zhelyabin, V. N. ^{[1, 2]} ; Popov, A. A. ^[2] ; Shestakov, I. P. ^{[3, 4]}

Affiliation

^[1] Novosibirsk State Univ, Novosibirsk 630090 - Russia

^[2] Sobolev Inst Math, Novosibirsk 630090 - Russia

^[3] Univ Sao Paulo, BR-05315970 Sao Paulo - Brazil

^[4] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk 630090 - Russia

• Document type: Journal article
• Source: Algebra and Logic; v. 52, n. 4, p. 277-289, SEP 2013.
• Web of Science Citations: 0

Abstract

Using the coordinate ring of an n-dimensional real sphere, we construct examples of differentially simple algebras which are finitely generated projective, but nonfree, modules over their centroids. As a consequence, examples of such algebras are obtained in varieties of associative, Lie, alternative, Mal'tsev, and Jordan algebras. (AU)

• FAPESP's process: 10/50347-9 - Algebras, representations e applications
• Grantee: Ivan Chestakov
• Support Opportunities: Research Projects - Thematic Grants