Algebras with involution with linear codimension growth

Paola Misso, Daniela La Mattina, Daniela La Mattina, Misso

Risultato della ricerca: Article

10 Citazioni (Scopus)

Abstract

We study the ∗-varieties of associative algebras with involution over a field of characteristic zero which are generated by a finite-dimensional algebra. In this setting we give a list of algebras classifying all such ∗-varieties whose sequence of ∗-codimensions is linearly bounded. Moreover, we exhibit a finite list of algebras to be excluded from the ∗-varieties with such property. As a consequence, we find all possible linearly bounded ∗-codimension sequences.
Lingua originaleEnglish
pagine (da-a)270-291
Numero di pagine22
RivistaJournal of Algebra
Volume305
Stato di pubblicazionePublished - 2006

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Involution
Codimension
Algebra
Associative Algebra
Finite Dimensional Algebra
Linearly
Zero

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cita questo

Algebras with involution with linear codimension growth. / Misso, Paola; La Mattina, Daniela; La Mattina, Daniela; Misso.

In: Journal of Algebra, Vol. 305, 2006, pag. 270-291.

Risultato della ricerca: Article

Misso, P, La Mattina, D, La Mattina, D & Misso 2006, 'Algebras with involution with linear codimension growth', Journal of Algebra, vol. 305, pagg. 270-291.
Misso P, La Mattina D, La Mattina D, Misso. Algebras with involution with linear codimension growth. Journal of Algebra. 2006;305:270-291.
Misso, Paola ; La Mattina, Daniela ; La Mattina, Daniela ; Misso. / Algebras with involution with linear codimension growth. In: Journal of Algebra. 2006 ; Vol. 305. pagg. 270-291.
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