Codimension Growth of Algebras with Adjoint Unit

Verfasser / Beitragende:
[O. Bezushchak, A. Beljaev, M. Zaicev]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 206/5(2015-05-01), 462-473
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2325-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2325-5 
245 0 0 |a Codimension Growth of Algebras with Adjoint Unit  |h [Elektronische Daten]  |c [O. Bezushchak, A. Beljaev, M. Zaicev] 
520 3 |a In this paper, numerical characteristics of identities of finite-dimensional nonassociative algebras are studied. Main attention is paid to the question on the change of the PI-exponent after adjoining an external unit element. We construct an example of a four-dimensional simple algebra such that its PI-exponent increases by one after adjoining an external unit element. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Bezushchak  |D O.  |u Faculty of Mechanics and Mathematics of Kiev National University, Acad. Glushkov Prosp, 2, 03127, Kiev, Ukraine  |4 aut 
700 1 |a Beljaev  |D A.  |u Russian State University of Trade and Economics, ul. Smol'naja, 36, 125993, Moscow, Russia  |4 aut 
700 1 |a Zaicev  |D M.  |u Faculty of Mechanics and Mathematics of Moscow State University, 119992, Moscow, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/5(2015-05-01), 462-473  |x 1072-3374  |q 206:5<462  |1 2015  |2 206  |o 10958 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2325-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Bezushchak  |D O.  |u Faculty of Mechanics and Mathematics of Kiev National University, Acad. Glushkov Prosp, 2, 03127, Kiev, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Beljaev  |D A.  |u Russian State University of Trade and Economics, ul. Smol'naja, 36, 125993, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zaicev  |D M.  |u Faculty of Mechanics and Mathematics of Moscow State University, 119992, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/5(2015-05-01), 462-473  |x 1072-3374  |q 206:5<462  |1 2015  |2 206  |o 10958