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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 3, Pages 11–26
(Mi fpm1513)
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This article is cited in 1 scientific paper (total in 1 paper)
Codimension growth of algebras with adjoint unit
O. E. Bezushchaka, A. A. Beljaevb, M. V. Zaicevc a National Taras Shevchenko University of Kyiv, Ukraine
b Russian State University of Trade and Economics, Moscow, Russia
c Lomonosov Moscow State University, Moscow, Russia
Abstract:
In this paper, numerical characteristics of identities of finite-dimensional nonassociative algebras are studied. Main attention is paid to the question of the change of the PI-exponent after adjoining an external unital element. We construct an example of a four-dimensional simple algebra such that its PI-exponent increases by one after adjoining an external unity.
Citation:
O. E. Bezushchak, A. A. Beljaev, M. V. Zaicev, “Codimension growth of algebras with adjoint unit”, Fundam. Prikl. Mat., 18:3 (2013), 11–26; J. Math. Sci., 206:5 (2015), 462–473
Linking options:
https://www.mathnet.ru/eng/fpm1513 https://www.mathnet.ru/eng/fpm/v18/i3/p11
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Abstract page: | 384 | Full-text PDF : | 120 | References: | 56 | First page: | 2 |
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