On algebras and superalgebras with linear codimension growth

Daniela La Mattina; Paola Misso; Antonino Giambruno

On algebras and superalgebras with linear codimension growth

Daniela La Mattina, Paola Misso, Antonino Giambruno

Matematica e Informatica

Research output: Contribution to conference › Other

Abstract

We present the classification, up to PI-equivalence, of thealgebras over a field of characteristic zero whose sequence ofcodimensions is linearly bounded. We also describe thegeneralization of this result in the setting of superalgebras andtheir graded identities. As a consequence we determine all linearfunctions describing the ordinary codimensions and the gradedcodimensions of a given algebra.

Original language	English
Pages	173-182
Number of pages	10
Publication status	Published - 2006

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La Mattina, D., Misso, P., & Giambruno, A. (2006). On algebras and superalgebras with linear codimension growth. 173-182.

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abstract = "We present the classification, up to PI-equivalence, of thealgebras over a field of characteristic zero whose sequence ofcodimensions is linearly bounded. We also describe thegeneralization of this result in the setting of superalgebras andtheir graded identities. As a consequence we determine all linearfunctions describing the ordinary codimensions and the gradedcodimensions of a given algebra.",

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T1 - On algebras and superalgebras with linear codimension growth

AU - La Mattina, Daniela

AU - Misso, Paola

AU - Giambruno, Antonino

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AB - We present the classification, up to PI-equivalence, of thealgebras over a field of characteristic zero whose sequence ofcodimensions is linearly bounded. We also describe thegeneralization of this result in the setting of superalgebras andtheir graded identities. As a consequence we determine all linearfunctions describing the ordinary codimensions and the gradedcodimensions of a given algebra.

UR - http://hdl.handle.net/10447/12322

M3 - Other

SP - 173

EP - 182

ER -