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Communications in Algebra Volume 29, 2001 - Issue 9
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Original Articles

ZP-CODIMENSIONS OF ZP-IDENTITIES OF GRASSMANN ALGEBRA

N. Anisimov Department of Algebra, Faculty of Mechanics and Mathematics, Moscow State Univ., Moscow, 119899, Russia
Pages 4211-4230 | Received 01 Mar 2001, Published online: 01 Feb 2007

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Onofrio Mario Di Vincenzo, Plamen Koshlukov & Viviane Ribeiro Tomaz Da Silva. (2017) On ℤ-graded identities and cocharacters of the Grassmann algebra. Communications in Algebra 45:1, pages 343-356.
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Viviane Ribeiro Tomaz da Silva. (2009) ℤ2-Codimensions of the Grassmann Algebra. Communications in Algebra 37:9, pages 3342-3359.
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Articles from other publishers (17)

Claudemir Fideles, Ana Beatriz Gomes, Alexandre Grishkov & Alan Guimarães. (2024) A characterization of the natural grading of the Grassmann algebra and its non-homogeneous -gradings . Linear Algebra and its Applications 680, pages 93-107.
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Alan de Araújo Guimarães & Plamen Koshlukov. (2023) Automorphisms and superalgebra structures on the Grassmann algebra. Journal of Pure and Applied Algebra 227:1, pages 107166.
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Antônio BrandãoJr.Jr., Claudemir Fidelis & Alan Guimarães. (2022) -gradings of full support on the Grassmann algebra . Journal of Algebra 601, pages 332-353.
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Ronald Ismael Quispe Urure. (2022) Symmetric and skew-symmetric polynomial identities with involution for the upper triangular matrix algebras of even order. Linear Algebra and its Applications 641, pages 98-114.
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Lucio Centrone & Viviane Ribeiro Tomaz da Silva. (2020) Graded Identities of Several Tensor Products of the Grassmann Algebra. Algebras and Representation Theory 24:6, pages 1441-1458.
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Alan de Araújo Guimarães & Plamen Koshlukov. (2021) -graded polynomial identities of the Grassmann algebra . Linear Algebra and its Applications 617, pages 190-214.
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Lucio Centrone, Dimas José Gonçalves & Dalton Couto Silva. (2020) Identities and central polynomials with involution for the Grassmann algebra. Journal of Algebra 560, pages 219-240.
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Carla Rizzo. (2018) The Grassmann Algebra and its Differential Identities. Algebras and Representation Theory 23:1, pages 125-134.
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Lucio Centrone. (2019) The GK dimension of relatively free algebras of PI-algebras. Journal of Pure and Applied Algebra 223:7, pages 2977-2996.
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Luís Felipe Gonçalves Fonseca. (2018) ℤ2-graded identities of the Grassmann algebra over a finite field. International Journal of Algebra and Computation 28:02, pages 291-307.
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Felipe Yukihide Yasumura & Plamen Emilov Koshlukov. (2017) Asymptotics of graded codimension of upper triangular matrices. Israel Journal of Mathematics 223:1, pages 423-439.
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Lucio Centrone. (2016) The $G$-graded identities of the Grassmann Algebra. Archivum Mathematicum:3, pages 141-158.
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Viviane Ribeiro Tomaz da Silva. (2011) On ℤ2-graded identities of the super tensor product of UT 2(F) by the Grassmann algebra. Israel Journal of Mathematics 188:1, pages 441-462.
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Lucio Centrone. (2011) -graded identities of the Grassmann algebra in positive characteristic . Linear Algebra and its Applications 435:12, pages 3297-3313.
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Onofrio M. Di Vincenzo & Viviane Ribeiro Tomaz da Silva. (2009) On -graded polynomial identities of the Grassmann algebra . Linear Algebra and its Applications 431:1-2, pages 56-72.
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Antônio Pereira BrandãoJr.Jr. & Plamen Koshlukov. (2007) Central polynomials for -graded algebras and for algebras with involution . Journal of Pure and Applied Algebra 208:3, pages 877-886.
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N Anisimov. 2003. Polynomial Identities And Combinatorial Methods. Polynomial Identities And Combinatorial Methods.

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