On ℤp-graded identities and cocharacters of the Grassmann algebra

DOI10.1080/00927872.2016.1175456zbMath1393.16016OpenAlexW2531445588MaRDI QIDQ2978268

Viviane Ribeiro Tomaz da Silva, Plamen Koshlukov

Publication date: 21 April 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2016.1175456

zbMATH Keywords

codimensionsGrassmann algebragraded polynomial identitiescocharacters

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (8)

\(\mathbb{Z}\)-gradings of full support on the Grassmann algebra ⋮ Automorphisms and superalgebra structures on the Grassmann algebra ⋮ \(\mathbb{Z}\)-graded polynomial identities of the Grassmann algebra ⋮ A note on -gradings on the Grassmann algebra and elementary number theory ⋮ $\mathbb{Z}$-graded identities on the infinite-dimensional Grassmann algebra and arithmetic tools: revisited ⋮ A characterization of the natural grading of the Grassmann algebra and its non-homogeneous \(\mathbb{Z}_2\)-gradings ⋮ On the support of (R,+)-gradings on the Grassmann algebra ⋮ The Grassmann algebra and its differential identities

Cites Work

• On \(*\)-cocharacters of \(M_{1,1}(E)\).
• On \(\mathbb Z_2\)-graded polynomial identities of the Grassmann algebra.
• Colength sequence of some T-ideals
• Z_P-CODIMENSIONS OF Z_P-IDENTITIES OF GRASSMANN ALGEBRA
• ℤ₂-Codimensions of the Grassmann Algebra
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Identities of associative algebras
• Cocharacters of g-graded algebras
• On the identities of the Grassmann algebras in characteristic \(p>0\)
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