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Algebra i logika, 2013, Volume 52, Number 4, Pages 416–434 (Mi al596)  
This article is cited in 3 scientific papers (total in 3 papers)

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

V. N. Zhelyabinab, A. A. Popovab, I. P. Shestakovca

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
c Universidade de São Paulo, Instituto de Matemática e Estatística, São Paulo-SEP, 05315-970, Brasil
Full-text PDF (221 kB) Citations (3)
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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.
Keywords: differentially simple algebra, module, centroid, variety, Lie algebra, alternative algebra, Mal’tsev algebra, Jordan algebra.
Received: 26.12.2012
Revised: 16.07.2013
English version:
Algebra and Logic, 2013, Volume 52, Issue 4, Pages 277–289
DOI: https://doi.org/10.1007/s10469-013-9242-9
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: V. N. Zhelyabin, A. A. Popov, I. P. Shestakov, “The coordinate ring of an $n$-dimensional sphere and some examples of differentially simple algebras”, Algebra Logika, 52:4 (2013), 416–434; Algebra and Logic, 52:4 (2013), 277–289
Citation in format AMSBIB
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\pages 416--434
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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