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Algebra i logika, 2013, Volume 52, Number 4, Pages 435–460 (Mi al597)  
This article is cited in 12 scientific papers (total in 12 papers)

Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities

I. M. Isaev, A. V. Kislitsin

Altai State Pedagogical Academy, ul. Molodezhnaya 55, Barnaul, 656031, Russia
Full-text PDF (258 kB) Citations (12)
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Abstract: Identities in vector spaces embedded in linear algebras are considered. Issues in finite basicity of identities for vector spaces, as well as for finitedimensional linear (nonassociative) algebras, are investigated. Essentially infinitely based and strongly infinitely based vector spaces and nonassociative linear algebras are exemplified.
Keywords: identity in algebra, identity in vector space, basis of identities, essentially infinite basicity, strongly infinite basicity.
Received: 12.03.2013
Revised: 25.07.2013
English version:
Algebra and Logic, 2013, Volume 52, Issue 4, Pages 290–307
DOI: https://doi.org/10.1007/s10469-013-9243-8
Bibliographic databases:
Document Type: Article
UDC: 512.552.4+512.554.1
Language: Russian
Citation: I. M. Isaev, A. V. Kislitsin, “Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities”, Algebra Logika, 52:4 (2013), 435–460; Algebra and Logic, 52:4 (2013), 290–307
Citation in format AMSBIB
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\paper Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities
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\vol 52
\issue 4
\pages 435--460
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\jour Algebra and Logic
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    • This publication is cited in the following 12 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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    Abstract page:317
    Full-text PDF :123
    References:47
    First page:14
     
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