The central polynomials for the Grassmann algebra.

DOI10.1007/s11856-010-0074-1zbMath1207.16021OpenAlexW2002619644MaRDI QIDQ607849

Élida Alves da Silva, Plamen Koshlukov, Alexei Krasilnikov, Antônio Pereira jun. Brandão

Publication date: 6 December 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10525/2799

zbMATH Keywords

free associative algebrasGrassmann algebrascodimension sequencesT-spacescentral polynomialsalgebras with polynomial identity

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Related Items

Products of commutators in a Lie nilpotent associative algebra, Growth for algebras satisfying polynomial identities., Hilbert series of \(T\)-spaces, Limit T-subalgebras in free associative algebras., $\mathbb{Z}$-graded identities on the infinite-dimensional Grassmann algebra and arithmetic tools: revisited, On central polynomials and codimension growth, Identities and central polynomials with involution for the Grassmann algebra, Products of several commutators in a Lie nilpotent associative algebra, Graded identities and central polynomials for the verbally prime algebras, ℤ-gradings on the Grassmann algebra over infinite fields: Graded identities and central polynomials, Limit T-subspaces and the central polynomials in \(n\) variables of the Grassmann algebra., ℤ2 and ℤ-graded central polynomials of the Grassmann algebra, \(\mathbb{Z}_q\)-graded identities and central polynomials of the Grassmann algebra, Primeness property for graded central polynomials of verbally prime algebras, The subalgebra of graded central polynomials of an associative algebra., Central polynomials with involution for the algebra of 2 × 2 upper triangular matrices, Central polynomials of graded algebras: capturing their exponential growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariants and the ring of generic matrices
• Limit T-spaces.
• Central polynomials in the matrix algebra of order two.
• Polynomial identity rings.
• T-spaces and their applications.
• Central polynomials for matrix rings
• Grassmann algebras over finite fields
• ON THE GRASSMANN T-SPACE
• Identities of associative algebras
• Examples ofT-spaces with an infinite basis
• The Polynomial Identities of the Grassman Algebra
• On the identities of the Grassmann algebras in characteristic \(p>0\)