Polynomial growth and identities of superalgebras and star-algebras

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Abstract

We study associative algebras with 1 endowed with an automorphism or antiautomor-phism ' of order 2, i.e., superalgebras and algebras with involution. For any fixed k >=1,we construct associative '-algebras whose '-codimension sequence is given asymptoti-cally by a polynomial of degree k whose leading coefficient is the largest or smallest possi-ble.
Original languageEnglish
Pages (from-to)2087-2094
Number of pages8
JournalJournal of Pure and Applied Algebra
Volume213
Publication statusPublished - 2009

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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