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Communications in Algebra Volume 31, 2003 - Issue 3
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Graded Polynomial Identities for Tensor Products by the Grassmann Algebra

Onofrio Mario Di Vincenzo Dipartimento Interuniversitario di Matematica, Università degli Studi e Politecnico di Bari, via Orabona, Bari, Italia; Dipartimento Interuniversitario di Matematica, Università degli Studi e Politecnico di Bari, via Orabona 4, 70125, Bari, ItaliaCorrespondence[email protected] [email protected]
&
Vincenzo Nardozza Dipartimento di Matematica, c/da Macchia Romana, Potenza, Italia
Pages 1453-1474 | Received 23 Nov 2001, Published online: 31 Aug 2006

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Lucio Centrone. (2011) The graded Gelfand--Kirillov dimension of verbally prime algebras. Linear and Multilinear Algebra 59:12, pages 1433-1450.
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Irina Sviridova. (2011) Identities of PI-Algebras Graded by a Finite Abelian Group. Communications in Algebra 39:9, pages 3462-3490.
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Lucio Centrone. (2011) Ordinary and ℤ2-Graded Cocharacters of UT 2(E). Communications in Algebra 39:7, pages 2554-2572.
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SérgioM. Alves, AntônioP. Brandão$suffix/text()$suffix/text() & Plamen Koshlukov. (2009) Graded Central Polynomials for T-Prime Algebras. Communications in Algebra 37:6, pages 2008-2020.
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Sergio S. Azevedo, Marcello Fidelis & Plamen Koshlukov. (2005) GRADED IDENTITIES AND PI EQUIVALENCE OF ALGEBRAS IN POSITIVE CHARACTERISTIC. Communications in Algebra 33:4, pages 1011-1022.
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Articles from other publishers (18)

Claudemir Fidelis, Diogo Diniz, Leomaques Bernardo & Plamen Koshlukov. (2021) Graded Identities and Central Polynomials for the Verbally Prime Algebras. Algebras and Representation Theory 26:1, pages 71-96.
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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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Diogo Diniz, Claudemir Fidelis & Plamen Koshlukov. (2022) Graded identities for algebras with elementary gradings over an infinite field. Proceedings of the Edinburgh Mathematical Society 65:1, pages 146-166.
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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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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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Diogo Diniz Pereira da Silva e Silva & Thiago Castilho de Mello. (2016) Graded identities of block-triangular matrices. Journal of Algebra 464, pages 246-265.
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Lucio Centrone & Viviane Ribeiro Tomaz da Silva. (2016) A note on graded polynomial identities for tensor products by the Grassmann algebra in positive characteristic. International Journal of Algebra and Computation 26:06, pages 1125-1140.
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Lucio Centrone & Viviane Ribeiro Tomaz da Silva. (2015) On -graded identities of and their growth . Linear Algebra and its Applications 471, pages 469-499.
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LUCIO CENTRONE. (2012) A NOTE ON GRADED GELFAND–KIRILLOV DIMENSION OF GRADED ALGEBRAS. Journal of Algebra and Its Applications 10:05, pages 865-889.
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Onofrio M. Di Vincenzo & Vincenzo Nardozza. (2010) On a Regev-Seeman conjecture about ℤ2-graded tensor products. Israel Journal of Mathematics 176:1, pages 43-59.
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Onofrio Mario Di Vincenzo, Plamen Koshlukov & Ednei Aparecido SantuloJr.Jr.. (2010) Graded identities for tensor products of matrix (super)algebras over the Grassmann algebra. Linear Algebra and its Applications 432:2-3, pages 780-795.
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Sérgio Mota Alves. (2009) PI non-equivalence in positive characteristic. manuscripta mathematica 131:1-2, pages 145-147.
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Sérgio Mota Alves. (2009) PI (non)equivalence and Gelfand-Kirillov dimension in positive characteristic. Rendiconti del Circolo Matematico di Palermo 58:1, pages 109-124.
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ONOFRIO M. DI VINCENZO & VINCENZO NARDOZZA. (2011) GRADED POLYNOMIAL IDENTITIES OF VERBALLY PRIME ALGEBRAS. Journal of Algebra and Its Applications 06:03, pages 385-401.
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Sérgio Mota Alves & Plamen Koshlukov. (2006) Polynomial identities of algebras in positive characteristic. Journal of Algebra 305:2, pages 1149-1165.
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Sergio S. Azevedo, Marcello Fidelis & Plamen Koshlukov. (2004) Tensor product theorems in positive characteristic. Journal of Algebra 276:2, pages 836-845.
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PLAMEN KOSHLUKOV & ANGELA VALENTI. (2011) GRADED IDENTITIES FOR THE ALGEBRA OF n×n UPPER TRIANGULAR MATRICES OVER AN INFINITE FIELD. International Journal of Algebra and Computation 13:05, pages 517-526.
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Onofrio Mario Di Vincenzo. 2003. Polynomial Identities And Combinatorial Methods. Polynomial Identities And Combinatorial Methods.

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