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

Autor(es)

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

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Algebra and Logic; v. 52, n. 4, p. 277-289, SEP 2013.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 10/50347-9 - Álgebras, representações e aplicações
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático