Geodesic
Minimal varieties of algebras of exponential growth
Giambruno, A.1 ; Zaicev, M.2
1 Dipartimento di Matematica ed Applicazioni, Università di Palermo, 90123 Palermo, Italy
2 Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow 119899, Russia
Electronic research announcements of the American Mathematical Society, Tome 06 (2000), pp. 40-44 Cet article a éte moissonné depuis la source American Mathematical Society

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The exponent of a variety of algebras over a field of characteristic zero has been recently proved to be an integer. Through this scale we can now classify all minimal varieties of a given exponent and of finite basic rank. As a consequence we describe the corresponding T-ideals of the free algebra, and we compute the asymptotics of the related codimension sequences. We then verify in this setting some known conjectures.
DOI : 10.1090/S1079-6762-00-00078-0

Giambruno, A. 1 ; Zaicev, M. 2

1 Dipartimento di Matematica ed Applicazioni, Università di Palermo, 90123 Palermo, Italy
2 Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow 119899, Russia 
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Giambruno, A.; Zaicev, M. Minimal varieties of algebras of exponential growth. Electronic research announcements of the American Mathematical Society, Tome 06 (2000), pp. 40-44. doi: 10.1090/S1079-6762-00-00078-0

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