6533b834fe1ef96bd129cec9

RESEARCH PRODUCT

Identities of *-superalgebras and almost polynomial growth

Ana Cristina VieiraAntonio GiambrunoRafael Bezerra Dos Santos

subject

Discrete mathematicsPure mathematicsPolynomialAlgebra and Number TheoryMathematics::Commutative Algebraalmost polynomial growthgraded involution010102 general mathematicsZero (complex analysis)Field (mathematics)010103 numerical & computational mathematics01 natural sciencesMatrix polynomialSquare-free polynomialSimple (abstract algebra)polynomial identity0101 mathematicsAlgebraically closed fieldCharacteristic polynomialMathematics

description

We study the growth of the codimensions of a *-superalgebra over a field of characteristic zero. We classify the ideals of identities of finite dimensional algebras whose corresponding codimensions are of almost polynomial growth. It turns out that these are the ideals of identities of two algebras with distinct involutions and gradings. Along the way, we also classify the finite dimensional simple *-superalgebras over an algebraically closed field of characteristic zero.

yearjournalcountryeditionlanguage
2015-06-03
10.1080/03081087.2015.1049933http://hdl.handle.net/10447/219023